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

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