A ladder leans against the side of a house The angle of elev

A ladder leans against the side of a house. The angle of elevation of the ladder is 61 degree when the bottom of the ladder is 12 ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Solution

cos theta= adjacent /hypotenuse

Here theta= 61 degree

adjacent=12

Hypotenuse=h

cos 61=12/h

h=12/cos 1= 24.8ft