Question

A ladder leans against the side of a house. The angle of elevation of the ladder is 64 degrees when the bottom of the ladder is 9ft from the side of the house. How high is the top of the ladder from the ground? Round your answer to the nearest tenth.

Answer 1

- tan = opposite/ adjacent

- tan 64 = x(the height of the ladder)/ 9ft

- 2.050= x/9ft

-x= 9ft * 2.050

- x= 18.45ft = 18.5 ft= 19 ft

so x or the unkown height is 19 ft