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Two buildings are in front of each other on either side of a r

Question

Two buildings are in front of each other on either side of a road of width $10$ metres. From the top of the first building, which is $30$ metres high, the angle of elevation of the top of the second is $4 5^{\circ}$ . What is the height of the second building (in metres)?

10

30

40

25

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Scarlett Discussed

Two buildings are in front of each other on either side of a road of width

10

metres. From the top of the first building, which is

30

metres high, the angle of elevation of the top of the second is

4 5^{\circ}

. What is the height of the second building (in metres)?

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

C D = EF = 10

we can see that

C D FE

is a rectangle,

∴ CE = D F = 30 & C D = EF = 10

Now, in

△ A C D

tan 4 5^{o} = \frac{A C}{10} \Rightarrow A C = 10

Therefore, height of the second Building

= A C + CE = 10 + 30 = 40

Therefore, Answer is

40

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Question Text	Two buildings are in front of each other on either side of a road of width $10$ metres. From the top of the first building, which is $30$ metres high, the angle of elevation of the top of the second is $4 5^{\circ}$ . What is the height of the second building (in metres)?
Answer Type	Text solution:1
Upvotes	150