Question

6. How far from a vertical wall of a building is the base of 40 ft. ladderwhich make a 65 degree angle with the ground?

Answer 1

Given

The height of ladder is 40 ft.

The angle ladder makes with the ground is 65 degree.

Explanation

Draw the diagram ,

Use the trigonometric equation, to find x.

$\begin{gathered} cos65\degree=\frac{x}{40} \\ x=40\times cos65\degree \\ x=16.9ft \end{gathered}$

Answer

Hence the base of ladder is 16.9 ft.