Describe the angle of elevation or the angle of depression with at least one application.

Question

Many applications involve finding distances using an angle of elevation or an angle of depression. Describe the angle of elevation or the angle of depression with at least one application.

Answer 1

An angle of elevation is the angle formed by a horizontal line and the line of sight when looking upward at an object. On the other hand, an angle of depression is the angle formed by a horizontal line and the line of sight when looking downward at an object.

For example, suppose a person wants to find the height of a building. They stand 100 feet away from its base and measure the angle of elevation to the top of the building as 35°. By using the tangent function, they can calculate the building’s height.

tan(35°) = height / 100 ft

height = 100 ft * tan(35°)

height = 100 ft * 0.7

height = 70 ft

This type of application is common in surveying, navigation, aviation, and construction, where direct measurement of distances or heights is difficult or impossible. Hope this helps!