Question

An Observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from he eyes is 45°. What is the height of the chimney ? ​

Answer 1

Answer:

Here, AB is the chimney, CD the observer and ∠ADE the angle of elevation. In this case, ADE is a triangle, right-angled at E and we are required to find the height of the chimney.

We have AB = AE + BE = AE + 1.5

and DE = CB = 28.5 m

To determine AE, we choose a trigonometric ratio, which involves both AE and DE. Let us choose the tangent of the angle of elevation.

Now,

tan 45º =AE÷DE

i.e.,

1= AE ÷ 28.5

Therefore,

AE = 28.5

So the height of the chimney (AB) = (28.5 + 1.5) m = 30 m.

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Answer 2

Step-by-step explanation:

Here, AB is the chimney, CD the observer and ∠ADE the angle of elevation (see Fig. 9.6). In this case, ADE is a triangle, right-angled at E and we are required to find the height of the chimney. We have AB = AE + BE = AE + 1.5 and DE = CB = 28.5 m To determine AE, we choose a trigonometric ratio, which involves both AE and DE. Let us choose the tangent of the angle of elevation. So the height of the chimney (AB) = (28.5 + 1.5) m = 30 m.Read more on Sarthaks.com - https://www.sarthaks.com/257561/observer-tall-away-from-chimney-the-angle-of-elevation-the-top-the-chimney-from-her-eyes-45