an 18 foot ladder is placed against a house at an angle of elevation of 66 degrees. how high above the ground is the top of the ladder? round to the nearest tenth.

Answer 1

height = 18sin66 = 16.44 feet

the ladder's length is the hypotenuse of a right triangle, with the opposite side = height of the ladder on the house. sin66 = opposite side divided by hypotenuse

18sin66 = hypotenuse times opposite side/hypotenuse = opposite side = height= about 16.44 feet.