Question

A 40-foot ladder is leaning against a building that is 12-feet tall. What is the angle of elevation that the ladder makes with the ground? Round your answer to the nearest degree.

Answer 1

θ = 17.45°

Explanation:

Given that,

Length of a ladder = 40 foot

Height of a building = 12 feet

We need to find the angle of elevation that the ladder makes with the ground.

40 foot will be the hypotenuse and 12 feet will be the perpendicular distance.

Using trigonometry for this:

`\sin\theta=(P)/(H)\\\\\sin\theta=(12)/(40)\\\\\theta=17.457^(\circ)`

So, the angle of elevation that the ladder makes with the ground is 17.45°.