Question

A 25ft ladder is propped against a storeroom. The angle the ladder forms is 50°. How far up the storeroom does the ladder reach?

Answer 1

This means the store room is 19.15ft up

Explanation:

The set up of the question will form a right angle triangle.

The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.

Using the SOH CAH TOA trigonometry identity,

According to SOH;

Sin∅ = opposite/hypotenuse

∅ is the angle the ladder forms

sin50° = x/25

x = 25sin50°

x = 19.15ft

This means the store room is 19.15ft up