Question

At what angle of elevation must

a 5.2 meter ladder be placed to
reach a vertical height of 3.8
meters on a wall?

Answer 1

Angle of elevation,
`\theta=46.88^(\circ)`

Explanation:

We have,

Height of a wall, AB = 3.8 m

Length of the ladder, AC = 5.2 m

It is required to find the angle of elevation. According to the attached figure, it is clear that we can find angle of elevation using trigonometry. such that,

`\sin\theta=(P)/(H)\\\\\sin\theta=(AB)/(AC)\\\\\sin\theta=(3.8)/(5.2)\\\\\theta=\sin^(-1)(0.73)\\\\\theta=46.88^(\circ)`

So, the angle of elevation must be 46.88 degrees.