Question

A ramp leading into a building makes a 15 degree angle with the ground. The end of the ramp is 10 feet from the base of the building. Approximately how long is the ramp? Round to the nearest tenth.

Answer 1

Trigonometry- use cos ( adjacent/hypotenuse)

Answer 2

10.4 feet.

Explanation:

Let l be the length of the ramp which is leaning against the building,

Given,

The ramp makes a 15 degree angle with the ground.

Also, the distance of one end of ramp from the base of the building = 10 feet,

A building is generally supposed to perpendicular the ground,

Hence, By making the diagram,

We get,

`cos 15^(\circ)=(10)/(l)` ( Trigonometric ratio ),

`\implies l = (10)/(cos 15^(\circ))=10.3527618041\approx 10.4`

Therefore, the ramp is approximately 10.4 feet long.