Question

A ladder is 2.5 m long and rests against a wall. The foot of the ladder is 0.6 m from the base of the wall. Determine the angle of elevation at the foot of the ladder.

Answer 1

.The given information can be represented using the diagram below

The information produces a right triangle as shown above

Applying the rule of trigonometry to get the angle

$\begin{gathered} cosa=\frac{0.6}{2.5} \\ cosa=\frac{6}{25} \end{gathered}$$\begin{gathered} a=cos^{-1}(\frac{6}{25}) \\ a=76.11^0 \end{gathered}$

Hence, the angle of elevation at the foot of the ladder is 76.1⁰