The angle of elevation of the top of a building from the foot of a tower is 70° and the angle of elevation of the top of the tower from the foot of the building is 40°. Find the height of the building if the tower is 50 m tall.

Answers

Answer 1

The height of the building located at a distance from the tower is approximately 163.716 meters.

How to determine the height of a building

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]

To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750

The Angle Of Elevation Of The Top Of A Building From The Foot Of A Tower Is 70 And The Angle Of Elevation

Related Questions

What is the value of this expression?



6n + 5y + 4z

n=4

y=3

z=2

Show the work

Answers

Answer:

47

Step-by-step explanation:

6n + 5y + 4z

substitute the variables

6(4) + 5(3) + 4(2)

6 x 4 = 24

5 x 3 = 15

4 x 2 = 8

24 + 15 + 8

= 47

A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.

Answers

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.


Happy to help!

Answer:

The bat's wholesale cost is $8

Step-by-step explanation:

You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.

pls help and do quick!

Answers

Answer:

If 50.24cm = Circumference

Radius = 8cm

If 50.24cm^2 = Area

Radius = 4cm

Step-by-step explanation:

50.24cm what? Circumference? Area?

π = 3.14

2πr = Circumference

50.24 / 2π = r

r = 8

πr^2 = Area

50.24 / π = r^2

r^2 = 16

r = 4

PLEASE HELP BECAUSE I DON"T KNOW INTEGRATION WITH TRIG SUBSTITUTION!!! WILL GIVE BRAINLIEST + 20 POINTS!!!

Answers

The correct from option is B . 4sin(0)

6 to the power of 3=216. Using exponents, write three more expressions whose value is 216.

Answers

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation:

the westside bakery uses 320 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour.How many pounds of flour are used in each loaf of bread?

Answers

Answer:

1000/320=100/32=25/8 pounds of flour per piece of bread

Step-by-step explanation:

[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]

therefore each loaf contains 3.125 pounds

Evaluate the expression (9x3)^2 -4^0

Answers

Answer:

728

Step-by-step explanation:

(9x3)^2-4^0

First solve in parenthesis,

Then solve exponents.

27^2 - 4^0

729 - 1

728

The area of a square garden is
1/144 km ^2 . How long is each​ side?

Answers

Answer:

[tex]\frac{1}{12}[/tex] Km

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

here A = [tex]\frac{1}{144}[/tex] , then

s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )

s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]

Answer:

side= 1/12 km = 0.083km

Step-by-step explanation:

The formula of area of a square is: A=side²

To get the length of each side, square root each side of the formula as shown below:

√A=√(side)²

√(1/144)=side

side= √(1/144) = 1/12 = 0.083km

I also need help with this

Answers

Answer:

9

Step-by-step explanation:

Lowest chart value = 0

Highest chart value = 9

Range: highest chart value - lowest chart value

Range: 9 - 0

Range: 9

Hope this helps!

i will give yo 20 points

Answers

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

please help me answer this question!!!!

Answers

Answer:

4³ and 4 · 4 · 4

Step-by-step explanation:

4³ is the same as 4 · 4 · 4 (or 4 three times).

Hello There!!

First We Need To Solve All The Expression:-

Expression (1)

[tex](4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64[/tex]

Expression (2)

[tex]( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81[/tex]

Expression (3)

[tex]\: \:\: \:4 \: ·4 \: ·4 \\ = 64[/tex]

Expression (4)

[tex]\: \:\: \:3 \: · \: 4 \\ = 12[/tex]

[tex] \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}[/tex]

Hope This Helps

14
DEF is a dilation of ABC with center (0,0). What is the scale factor?
3
1/2
1/3
1/4

Answers

Answer:

that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.

A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.

Answers

Answer:

D = .30 Q = 0.24

Step-by-step explanation:

12 + 15 + 23 = 35 + 15 = 50

15/50 = 3/10

12/50 = 6/25

ok well

6/25 = 0.24

3/10 = .30

Is a triangle with sides 7 feet, 12 feet, and 14 feet a right, acute or obtuse triangle?

Answers

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

Can you help me with this one

Answers

Answer:

??

Step-by-step explanation:

pls type the question properly have a good day:-)

how do I find the product of (5p+2)^2

Answers

Answer:

Hi mate

Step-by-step explanation:

Your question

[tex] {(5p + 2)}^{2} [/tex]

Applying identity we get

[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]

Now finding answer

[tex] {25p}^{2} + 20p + 4[/tex]

Thsi is answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Hi!

Given:

[tex](5p+2)^2[/tex]

The exponent of 2 shows we need to multiply it all by itself.

This is equal to:

[tex](5p+2)(5p+2)[/tex]

Use Distributive property and FOIL method:

[tex]25p^2+10p+10p+4[/tex]

Combine like terms:

[tex]25p^2+20p+4[/tex]

NOTE: if you are not familiar with the FOIL method, see the attached image below:

3. Write 6x - 2y = 0 in slope-intercept form, if possible.

Answers

Answer:

y=3x

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

subtract 6x to the other side

divide by -2

there is no y-intercept because it's 0

5cm
6cm
8cm
What is the perimeter of the following

Answers

Answer:

19cm

Step-by-step explanation:

lets assume its a triangle

perimeter = 5cm + 6cm +8cm

PLSSS help if you TURLY know THISS

Answers

Answer:

that would be C.) 1 and 1/8

Step-by-step explanation:

becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8

Answer: c

Step-by-step explanation:

Add the numerators

7+2=9

8 out of the 9 will make a whole number

9-8=1

The last 1 in the numerators will make 1/8

1 and 1/8

Help! I need help asap, I will give brainliest

Answers

Answer:

15.733in^2

Step-by-step explanation:

For this triangle it would be area=0.5 * b * h * sin(y)

(y) being the angle

(b) being base

(h) being height

Hope this helps and I am pretty sure this is right.

Answer:

is 24

Step-by-step explanation:

because is multiply for 22

Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop​

Answers

Answer:

total 1 hour 15 mins

Step-by-step explanation:

3:45 - 5:00

lets count one by one

3:45 - 4:00 = 15 mins

4:00 - 5:00 = 1 hour

total 1 hour 15 mins

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 110I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles

Answers

Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the function for P is given by:

[tex]P(l) = \frac{110l}{l^2 + l + 4}[/tex]

The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:

[tex]l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5[/tex]

P is at a maximum for l = -0.5 thousand foot-candles.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

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A rectangular swimming pool is 17 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its
volume?

Answers

Answer:

1355.75 m

Step-by-step explanation:

Volume of a rectangle = length x breadth x height

Volume of recatngular swimming pool = 17 x 14.5 x 5.5

volume of rectangular swimming pool = 1355.75 m

A cylinder has a radius of 19 millimeters. Its volume is 22,670.8 cubic millimeters. What is the height of the cylinder?

Answers

Answer:

19.99

Step-by-step explanation:

use the formula

[tex]\pi {r}^{2} h = v[/tex]

change it up so that you solve for height

[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]

substitute values in and solve

Answer:

20.00 mm to the nearest hundredth.

Step-by-step explanation:

V = π r^2 h

22,670.8 = π * 19^2 * h

h =  22,670.8 /  π * 19^2

= 22,670.8 / 1134.115

= 19.9899

WILL GIVE BRAINLIEST

A student was calculating the residuals of a linear regression equation. The largest residual value found was between 0.90 and 1. What could be said about the data?

Answers

Answer:there is a very strong corolation

Step-by-step explanation:

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.

Answers

Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

regular hexagonregular pentagonsquareequilateral triangle

now that we know the shapes we must find out which shapes are shaded

regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= A

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

||

\/

what fraction of 1/2 square centimeter is 1/2 centimeter square

Answers

Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

What is the equation of the blue line?

Answers

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

    We will write the equation in slope-intercept form.

y = mx + b

    The slope can be found with "rise over run" since we have clear points on the graph.

    Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

    Rise / run = 2 / 1 = 2

    The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

    Final equation:

y = 2x + 3

I WILL MARK BRAINLIST IF UR CORRECT

A box of cereal has 20 cups. If each serving of cereal is 1/2 of a cup, how many servings are in the box?

A. 10 servings

B. 1/40 servings

C. 1/20 servings

D. 40 servings

Answers

Answer:

40

Step-by-step explanation:

20/.5

Four friends ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes Charlie: 32.28 minutes Randy: 32.2 minutes Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?​

Answers

Sam first one

Craig second one

Randy third one

Charlie fourth one

From the data second is Craig, third is Randy and fourth is Charlie.

Given that, 4 persons ran a race.

Craig took 25.9 minutes

32.28 minutes took by Charlie

32.2 minutes by Randy

25.85 by Sam

To find who own second, third and fourth

Arranged the decimals in ascending order and found the answers.

By arranging in ascending order:

Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

First is Sam = 25.85

Second is Craig = 25.9

Third is Randy = 32.2

Fourth is Charlie = 32.28

Hence, from the data second is Craig, third is Randy and fourth is Charlie.

To learn more about the comparison of decimals visit:

https://brainly.com/question/18270620.

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