Question

B. A family sees their house from a window

of a tall building. The angle of depression
is 55°. The window where the family is
standing is 160 meters above the street.
How far away is their house from the
window, to the nearest meter?
160 m

Answer 1

Their house is 279 meters away from the window.

Explanation:

Please refer to the illustration.

Since a right triangle is formed then we can use Pythagorean theorem to get the distance required.

The distance serves as the hypotenuse of the triangle formed.

Using cosine function solve for d.

cos 55° = 160m/d

d = 160m/cos 55°

d = 278.95 or

d = 279 meters