Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.

Grayson Spots An Airplane On Radar That Iscurrently Approaching In A Straight Line,and That Will Fly

Answers

Answer 1

Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:

[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]

[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]

[tex]x_A = 20982.9[/tex]

At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:

[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]

[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]

[tex]x_B = 8922.1[/tex]

The distance in feet is given by:

[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623


Related Questions

Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
​Slope, m =

​y-intercept, b =

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!


Which of the following is the graph of
y = |x – 1 – 4?

Answers

The answer is C. Sends

Ver en español
What is the surface area of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

395.64 sq. mm

hope it helps...!!!

plsss answer thiss.. i need it rn non sense answer will be reported​

Answers

Answer:

Answer below in the picture

I hope my answer helps you.


Can anyone help me with my homework?

Answers

Do you understand what you’re meant to be doing? You have to substitute a number on the x column of your table into the equations. So for number 2, you multiply -2•6 which equals -12. And on number three you subtract 6-6 which is 0.

calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form

Answers

That is a very good answer I think it’s ur mom

The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer

Answers

Answer:

116.25 or [tex]\frac{465}{4}[/tex]

Step by Step Explanation;

500=35+4n

Subtract 35 from both sides

465=4n

[tex]\frac{465}{4}=n[/tex]

[tex]116.25=n[/tex]

Hope This Helps! :) Please Mark as Brainliest!

C=35+4n, if C=500 what would N be?
n=116.25

Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium

Answers

The pints of  water left in the aquarium is  2.5 pints

Converting cups to pint

Using the conversion rule sho below:

1 cup  = 0.5 pint

If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:

Total pint =  2  pints + 0.5 pint

Total pint =  2.5 pints

Hence the pints of  water left in the aquarium is  2.5 pints

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Type the missing number that makes these fractions equal: 1 2 = 2

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2} * 4[/tex] = 2

What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2

Answers

Answer:

a : 2 , b : 1 , c : 0 , d : 0

Step-by-step explanation:

a: 2

b: 1

c: 0

d:0

Answer:

d .

Step-by-step explanation:

I went over it in class .


An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)

A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain

Answers

Answer:

Equally Likely

Step-by-step explanation:


The answer is equally likely because equally likely events have the same probability of happening as another event.

For example, a fair coin.

It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.

Hope this helps!

If an event has a probability of 1/2 then the likelihood of this event is,

C. Equally likely.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.

A fair coin is an illustration.

Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.

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Find x:

A)3

B)2.5

C)4

D)7.5

Answers

Answer:

D

Step-by-step explanation:

Because I said so ho3

please help me i don't know the problem

Answers

Answer:

see below

Step-by-step explanation:

y = 2x+2

The line is in slope intercept form

y = mx+2  where m is the slope and b is the y intercept

The line intercepts the y axis is b or 2 ( 0,2)

The slope is m = 2

It means we go up 2 and over 1  (2/1)

Starting at (0,2)  , up 2 and to the right 1 is ( 1,4)

The next point would be (2,6)

Here’s the graph!!!!!!!!

PLEASEE HELPPPPPPP ASAPPPPPPPPP

Answers

Answer:

yes its 50

Step-by-step explanation:

if you need an explanation let me know!

Find the area of the triangle

Answers

Answer:

10.92cm square

Step-by-step explanation:

Area of a triangle= length * width/ 2

7.8*2.8=21.84

21.84/2=10.92

What are the domain and range of the step function with the equation below?
fx)=-3[x]
The domain is all real numbers, and the range is all real numbers.
0 The domain is all integers, and the range is all integers that are multiples of 3.
O The domain is all real numbers, and the range is all integers that are multiples of 3.
The domain is all integers, and the range is all real numbers.

Answers

Answer:

he domain is all real numbers, and the range is all integers that are multiples of 3.

The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.

What is the domain and range of the function?

The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.

On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.

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The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.

Answers

Answer:2x+(x+17)+(x-21)=180

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

How to create an equation to determine the angles?

The given parameters are:

P = 2x

Q = x + 17

R = x - 21

The sum of angles in a triangle is 180.

So, we have:

P + Q + R = 180

Substitute known values

2x + x + 17 + x - 21 = 180

Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

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Thanks!! I'm just really confused abt this one question on IXL. I just need to answer this question and then I'm done.

Answers

Answer:

11/15

Step-by-step explanation:

The manager of a car dealership is offering a bonus to any salesperson who sells 2 cars today. Lately, Kim has been able to sell a car to 20% of the customers she greets. She wants to know the probability that she gets the bonus if she greets 7 customers today. To determine this, she uses a random number generator. The following table shows 50 sets of 7 digits. For each digit, Kim assigns the numbers 0 and 1 to selling a car and the numbers 2 through 9 to not selling a car.


The experimental probability of Kim getting the bonus if she greets 7 customers today is
_______.

Answers

Answer:

o.48

Step-by-step explanation:

To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.

Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is  or 0.48.

3. 9, 11, 33, N, 105.

Answers

Answer:

N = 35

Step-by-step explanation:

The pattern in this sequence is x3, +2.

3 * 3 = 9

9 + 2 = 11

11 * 3 = 33

33 + 2 = N

N * 3 = 105

N = 33 + 2 = 105/3 = 35

Match the following, cylinder rectangular prism cone triangular prism square prism

Answers

Surface Area of following shapes

Cylinder = 2πrh + 2πr²

where "h" - height, "r" - radius

Rectangular Prism = 2lw + 2lh + 2wh    also      2B + Ph

"l" - length, "w" - width, "h" - height

Cone = πrl + πr²

"l" - slant height, "r" - radius

Triangular Prism = 2B + Ph

"B" - area of one base, "P" - perimeter of base, "h" - height

Square Pyramid = 2l l + l²

"l " is height, "l" is side length

I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5

Answers

Answer:

a)  -2

b)  y = -2x + 6

Step-by-step explanation:

Question (a)

Point A = (-1, -2)

Point B = (7, 2)

[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]

If lines are perpendicular to each other, the product of their gradients will be -1.

Let g be the gradient of the perpendicular line:

[tex]\implies \sf \dfrac12 \times g=-1[/tex]

[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]

Therefore, the gradient of the line perpendicular to AB is -2

---------------------------------------------------------------------------------------------

Question (b)

[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]

[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]

[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]

We now know the gradient and a point on the perpendicular line.

So we can use the point-slope form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=-2(x-3)[/tex]

[tex]\implies \sf y=-2x+6[/tex]

help pls
just say what option

Answers

Answer:

D .the formation in the graph shows a positive non linear correlation, the weight of the dinosaur trends to increase according to its length.

hope this helps you :)

The information on the graph shows a positive nonlinear correlation and the weight of the dinosaur tends to increase according to its length.

What is a discrete graph?

A discrete graph is also known as a scatter plot that shows the discontinuous and the nonlinear data point on the graph.

From the graph, we can see the increasing weight of the Dinosaur size vertical y-axis and the increasing length of the feet on the horizontal x-axis.

Therefore, we can conclude that the data points show an increasing nonlinear weight on the graph as the length increases.

Learn more about discrete graphs here:

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HELP PLSSS - WILL MARK BRAINLIEST

Select the correct answer

which situation is best modeled by a nonlinear function with time as the independent variable?

A. The value of a gift card that decreases by three dollars each month

B. The value of a $20 bill

C. The value of a collectible baseball card that increases by constant factor of 1.1, or by 10%, each year

D. The value of an investment that increases by two dollars each week

Answers

Answer: Most likely it is A

Step-by-step explanation:

Although it should be B, because a non linear function doesn't  have a rate of change. I already looked up this question many times so we know It's NOT C.

The best modeled by a nonlinear function with time as the independent variable is:

The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.

A nonlinear function is one that does not follow a straight line.

In this case, t

A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.

B) describes a constant value, which is a special case of a linear function where there is no change over time.

C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.

D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.

Learn more about  nonlinear function here:

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You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble

(Don’t mind the erased work it was a mistake I made)

Answers

Answer:

50% of blue

33.3333...% for not choosing red

A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result

Answers

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

A rectangle measures 2
2
_
3
inches by 1
5
_
9
inches. What is its area?

Answers

Answer:

40/25 or 1.481

Step-by-step explanation:

I dont know if its right but the multiplication give me this fraction or this decimal. Hope it helps :)

Hi please help with an explanation as well, I’ll reward branliest

Answers

Answer:

Perimeter of base: 40 :)

10 + 10 + 10 + 10 = 40

Slant height: 13

(it gives us this information) :)

Area of base: 100

10^2 = 100

Surface area: 65000

(1/2)(100 x 13)

1/2(1300)

650

Have an amazing day!!

Please rate and mark brainliest!!!

Answer and Explanation:

1) The perimeter is the sum of the base's side lengths, so it is:

P = 10 ft * 4 = 40 ft

2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:

5^2 + h^2 = 13^2

25 + h^2 = 169

h^2 = 144

h = 12 ft

3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:

LA = 4 * (1/2)(10 * 13)

= 4 * 65

= 260 ft

4) The area of the base is the product of its dimensions:

A(base) = 10 * 10

= 100 ft^2

5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:

SA = LA + A(base)

= 260 + 100

= 360 ft^2

What transformation of Figure 1 results in Figure 2?
Select from the drop-down menu to correctly complete the
statement.

Choices- Rotation
Reflection
Translation

HeLp

Answers

Translation
It was just moved, not turned around or made bigger.

is 3(a+y(6x))+(x+5) associative property of addition?

Answers

Answer:

Yes

Step-by-step explanation:

Your welcome!

Have a good day! :)

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