Question

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest

Ladder is 110 feet. What is the maximum safe rescue height?
110sin(72°) feet
110cos(729) feet
110
Sin(725 feet
110
feet
COS(725 feet

Answer 1

110sin(72°) feet

Explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)