Question

You are building a ramp that must cover a horizontal distanceof exactly 19 feet. The angle of the ramp from the ground is25°. Determine the length of the ramp, in feet.

Answer 1

The above drawing describes the situation.

By definition

`\cos (angle)=\frac{\text{ adjacent side}}{\text{ hypotenuse}}`

From the picture

`\begin{gathered} \cos (25^o)=(19)/(x) \\ \cos (25^o)\cdot x=19 \\ x=(19)/(\cos (25^o)) \\ x=21\text{ ft} \end{gathered}`