Solve each of the following problems.

Question

A ladder on a fire truck can be extended to a maximum length of 68 m when elevated to its maximum angle of 70°. The base of the ladder is mounted on the truck 7 m above the ground. How high above the ground will the ladder reach?

Answer 1

Using trig ratios, sin 70 = (h-7)/68 and h-7 = 68 sin 70 = 52.62 so the height is 58.62 meters