find angle of elevation of the ladder

Question

A ladder that is 10 feet long leans against the side of a house. The angle of elevation of the ladder is 75°. Find the height from the top of the ladder to the ground. (Round your answer to one decimal place.)

 _____________ft

Answer 1

The length of the ladder is the hypotenuse of the triangle. They are asking you to solve for the opposite side. You should use sin.

Let x = height from the top of the ladder to the ground.

sin 75 = x/10 Multiply both sides of the equation by 10.

10 sin 75 = x

x=9.7 ft