Question

A ​10.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 37° 16' with the horizontal.

Answer 1

Answer: 6.32-m.

Explanation:

The ladder is leaning against the wall, so this would be considered the hypotenuse since it would be the longest side if we create a triangle consisting of the ladder, the wall, and the distance between the ladder and the wall.

We can use the formula sin(angle) = opposite/hypotenuse

sin(37) = wall/10.5

Simplifying this we get wall = 6.32-m.