The angle of elevation of the top of a
tower from the top and foot of a pole of
height 10 m are 30° and 60°. Then the
height of the tower is

Answers

Answer 1

Answer:

15 m

explanation:

Let AB and CD be the pole and tower respectively. Let CD=h Then ∠DAC=60 ∘ and∠DBE=30 ∘ Now CA CD ​ =tan60 ∘ = 3 ​ ∴CD= 3 ​ CA⇒ 3 ​ h ​ =CA Again BE DE ​ =tan30 ∘ = 3 ​ h ​ ∴(h−10)= 3 ​ BE ​ = 3 ​ CA ​ ...[∵BE=CA] = 3 ​ h/ 3 ​ ​ = 3 h ​ ⇒3h−30=h⇒2h=30⇒h=15

Hence, height of the power =15 m


Related Questions

Which function is the inverse of f(x) = 2x + 3?

Answers

Answer:

m=2

Step-by-step explanation:

The table (below) shows the amount of fuel left in your RV while driving. What type of function can you use to model the data? Estimate the amount of fuel left in your tank after driving for 90 minutes.

Im a lil confused someone help explain the problem please :)

Answers

Answer:

the answer is 4

Step-by-step explanation:

hope this helps

please help quickly !!

Answers

Answer:

50

Step-by-step explanation:

Answer:

-3x-12

Step-by-step explanation:

I need help with angles

Answers

Answer:

The value of x is 8

The measure of angle A is 42 degrees

A and B are consecutive interior angles

Step-by-step explanation:

Since A and B are consecutive interior angles you combine both equations and have it equal to 180

16x+10+5x+2=180

21x+12=180

21x=168

x=8

Plug 8 into the equation across from A

16(8) +10

128+10

138 degrees

Since angle A is supplementary you do 180-138= 42 degrees

A coin is on the bottom of a pool, 8 ½ feet below the surface. Sal is going to jump off of a 10.25-foot-high diving board to retrieve the coin. What is the distance that Sal will need to travel from the diving board to the coin? *

Answers

Answer:

18.75 feet

Step-by-step explanation:

1.) Ted Mosby has 5 pairs of shoes, 6 pairs of pants, and 5 shirts, which can be worn in any combination. He needs to choose a combination to wear to his job interview. How many different combinations consisting of 1 pair of shoes, 1 pair of pants, and I shirt are possible for Ted to wear to the interview? A 11 D. 60 B. 16 E. 150 C. 30​

Answers

Answer:

e 150 is the answer

Step-by-step explanation:

i calculated it

4.8 is 10 times as much as _____?​

Answers

Answer:

0.48

Step-by-step explanation:

4.8 / 10 = 0.48

What is 28196−−−√ written in simplified radical form?

Answers

Answer:

167.9166459

Step-by-step explanation:

Solve for m
-4(2m + 5) - 3m = 35

Answers

Answer:

m=-5

Step-by-step explanation:

The sky ride at an amusement park spans 2,715 feet. Over the course of the day,
Anna rode the sky ride 7 times. How many feet did she ride?

A. 14,025 feet

B. 15,500 feet

C. 19,005 feet

D. 21,000 feet

Answers

Answer:

C. 19,005

Step-by-step explanation:

multipy 2,715 by 7

Answer is 2715 * 7 = 19005

A school has 500 students and 25 teachers. Which of these statements is true based on this information?

Answers

Answer:

A school has 500 students and 25 teachers

Step-by-step explanation:

If you’re looking for a ratio it’s 20:1 with the 20 being students

please help me!!! i need help!!!

Answers

Answer:

The numbers r really blurry

Step-by-step explanation:

oof

Please help legit things only or you get banned thanks!!!!!!!!!!!!!

Answers

it’s c, because angles a and b are complementary, which would mean the sum would have to be 90.

Which of the following is equivalent to the complex number i51?
Choose 1 answer:
A.1
B.i
C.-1
D.-i

Answers

Answer:

Step-by-step explanation:

1

Answer: -i

Step-by-step explanation:

khan Academy

Sue wants to put a rectangular garden on her property using 88 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x. what is the largest area that can be enclosed?

Answers

Answer:

Area = 44x - x²/2

Step-by-step explanation:

Given that:

Meter of fencing = 88m

Length of side of rectangle along the river = x

Only one more length is needed since river as been used as one side length of the fence.

Length = x

Width of rectangle = y = 2y (for both sides)

Hence ;

x + 2y = 88 meters

Expressing in terms of y

2y = 88 - x

y = (88 - x) / 2

y = 44 - x/2

Area of rectangle = Length * width

Area = x * y

Area = x * (44 - x/2)

Area = 44x - x²/2

Maximum. Area :

Perimeter = 4s

88 = 4s

s = 88/4 = 22

x = 2(22) = 44 = Length ; y = 22 = width

Maximum area = (22 * 44) = 968m²

another one guyssslol

Answers

-5(3u + 1) + 10u simplified =
-5u - 5

what is the 9th term in the sequence -1,4,-9,16, -25,​

Answers

Answer:

Step-by-step explanation:

Wow! There are 2 things going on here, so let's go step by step.

The first thing to notice is that the numbers are going negative, positive, negative, positive. Odd-numbered terms are negative while even-numbered terms are positive. Since 9 is odd number, we know the answer must be negative.

Secondly, the 1, 4, 9, 16 sequence is called the square numbers. They are 1 x 1, 2 x 2, 3 x 3, 4 x 4, etc. The 9th term will be 9 x 9 ( ignoring the negative).

Adding the first point with the second, we get   (-81)  { negative eighty-one }

Hope this helps.

PLEASE HELP!!
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for a reason “Cannot be determined.”

a

Is ∆GAS ≅ △_____

By rule____

Answers

Answer:

ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Step-by-step explanation:

The given information are;

Statement                                  [tex]{}[/tex]                               Reason

Segment [tex]\overline {SA}[/tex] is congruent to [tex]\overline {OL}[/tex]              [tex]{}[/tex]As shown in the diagram provided

∠SAG is congruent to ∠LOI               [tex]{}[/tex]       As shown  in the diagram provided

∠SGA is congruent to ∠LIO               [tex]{}[/tex]       As shown  in the diagram provided

Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles

Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.

Answer:

∆GAS ≅ △IOL By rule ASA, AAS

Step-by-step explanation:

By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles.  We already know that it can't be SSS or SAS because we have 2 angles, as I said.

If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles.  Therefore, our answer is ASA or AAS

Convert 3,200,000 to scientific notation.

3.2 ⋅ 106
3.2 ⋅ 105
3.2 ⋅ 10−6
3.2 ⋅ 10−5

Answers

It’s 3.2 • 10 with the exponent of 6

What type of number is - v 81?

Answers

Answer:

rational

Step-by-step explanation:

Write a paragraph proof for the following conjecture:
Given: m∠1 +m∠2=m∠4
Prove: m∠3 +m∠1 +m∠2=180°

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

From the question given,

m∠1 + m∠2 = m∠4

To prove that:

m∠3 + m∠1 + m∠2 = 180°

We simply do the following:

m∠3 + m∠4 = 180°.... (1) (angle on a straight line)

But from the question given,

m∠4 = m∠1 + m∠2

Substitute the value of m∠4 into equation (1)

m∠3 + m∠4 = 180°

m∠3 + m∠1 + m∠2 = 180° QED

math question plz help

Answers

Answer:

1.10

2.49z^4

Step-by-step explanation:

1.What I did was change 1/2 to a decimal and then go from there::0.5(8)-(-4)+2 ::0.5(8)=4-(-4)=8 because of KCC then 8+2=10

2.The power of a product is equal to the product of it's factors raised to the same power

Is 5 17/21 greater or less than 5 12/25

Answers

Answer: IT IS 5 17/21

Step-by-step explanation:

I used a calculator

Answer:

5 17/21  >  5 12/25          

Step-by-step explanation:

Connor bought a baseball card eight years ago that has depreciated (goes down in value) by $120 since he purchased it. Find the average yearly change in the value of the card.

and show me how did you do it

Answers

Answer:

-$15

Step-by-step explanation:

To find the average yearly change, divide -120 by 8, since it has decreased by $120 over 8 years.

-120/8

= -15

So, the average yearly change in the value of the card is -$15

Answer:

$120/8= $15 in a year.

15 times 8 is 120.

My Work:

You can go to google and type in 120/8

Katrina's bank statement shows a closing balance of $140.62 There are no outstanding checks or deposits. Her checkbook shows a balance of $145.62 what might account for the different balances

Answers

The answer will is monthly service fee of $5.00

ok so i was walking with my computer and fell in a hole and i cant get out what do i do HELP ME

Answers

First you go on the computer and you know how there's always a FBI agent watching you? You tell the FBI agent that your stuck in a hole and you need help. Then the FBI agent will send their team to come and get you but it won't be so easy because why? The little old lady you ran over decided to get revenge and set up a trap. so now it's the FBI vs The little old lady

the FBI starts to shoot at the Old Lady but she moves so fast she like lighting then she goes to attack the FBI agent but then the FBI agent reveals himself as the her grandson! Apparently he was able to get away and survive her attack since this caught the old lady off guard the grandson smashes cookies into her face and help you out of the hole

your welcome

Answer:

try to contact someone online if they are also the police department now has a online chat if you dont have a moblie device at hand

Step-by-step explanation:

Can anybody please help me out with this question please I would really appreciate it so much. please and thank you .

Answers

Answer:

∠ BAF = 140°

Step-by-step explanation:

Since BD is a tangent to the circle at point B , then

∠ ABD = 90°

The exterior angle of a circle is equal to the sum of the 2 opposite interior angles.

∠ BAF is an exterior angle, thus

∠ BAF = ∠ ABD + ∠ BDA = 90° + 50° = 140°

I agree with the person above

Can someone help me with this?

Answers

Answer:

20 feet

Step-by-step explanation:

We can use scale factors to represent the lengths. Since the flagpole's base is 4 times the tree's height, we can also say that the flagpole's height is 4 times the tree's height. Since the tree's height is 5 feet, the flagpole's height is 4 x 5, which is 20.

need ur help guys!

1. _____ of the graph of a rational function are the points of intersection of its graph and an axis.

2. _____ of a function are the values of x which make the function zero. The numbered zeroes are also ______ of the graph of the function.

3. ______of the graph of a rational function r(x) , if it exists, occurs at the zeros of the denominators. To find _____ equate the function to ____.

4. _____ of the graph of a rational function r(x) if it exists, occurs at r(0), provided that r(x) is defined at x = 0. To find ________ simply evaluate the function at x = ______.

5. An_______is an imaginary line to which a graph gets closer and closer as the x or y increases or decreases its value without limit.

6. To find ________ of a rational function, first reduce the given function to simplest form then find the zeroes of the denominator that are not zeros of the numerator.

7. To determine the_______ of a rational function, compare the degree of the numerator n and the degree of the denominator d.

Answers

Answer:

1. Intercept

2. a. Zeros b. x-intercept

3. a. The vertical asymptote b. x-intercept c. Zero

4. a. The y-intercept  b. y-intercept  c. x = 0

5. Asymptote

6. Vertical asymptote

7. The existence or location of an horizontal asymptote

Step-by-step explanation:

The vertical asymptote is the vertical line to which the y-axis increases infinitely as it approaches the line.

3d-2(8d-9) > 3-(2d+7)
Show Your Work

Answers

Answer:

3d-2(8d-9)>3-(2d+7)     3xd-2x8xd-9 is greater than 3-2xd+7  

Hope this is correct and what you wanted!

Step-by-step explanation:

Answer:

d < 2 ord = ( - oo, 2)

Step-by-step explanation:

Solving in steps

3d-2(8d-9) > 3-(2d+7)3d - 16d + 18 > 3 - 2d - 7-13d + 18 > -2d - 4-13d + 2d > - 4 - 18-11d > -22d < 2 ord = ( - oo, 2)
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