Question

From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?

if u can draw an illustration, thanks

Answer 1

The answer is 26.53 m, since you’d have to use trig to find the length of the ground, then calculate the top of the house using tan, then add 20m to the length of the top of the house, which is 6.53 m.

Answer 2

The height of house is 26.53 m

What is angle of elevation?

The angle of elevation and angle of depression are opposites of each other. In an angle of elevation, the object is placed above the observer, while in the case of the angle of depression, it is placed below the observer.

If you are standing at your terrace and looking at the sun, then the angle of elevation will be formed. On the other hand, if you will look at the dog standing on the road from your terrace, then the angle of depression will be formed. In both cases, we use trigonometry angles to find the heights and distances.

Given:

Window height = 20 m

angle of elevation =5

angle of depression= 15

Using trigonometry

tan 15 = P/B

0.2679= 20/B

B= 74.654 m

Again

tan 5 =P/B

0.0874 = P/ 74.645

P= 6.5305 m

Hence, height of the tree is 6.53 + 20= 26.53 m

Learn more about angle of elevation here:

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