An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg
e of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round the answer to the nearest tenth. A.
Measure of the angle that is opposite the line of 88 feet: 180° - ( 22° + 148° ) = 10° Using the Sine Law: sin 10° / 88 = sin 22° / x 0.173648 / 88 = 0.3746 / x x · 0.173648 = 88 · 0.3746 x = 189.84 ft h - height of a building: h / x = sin 32° h = x · sin 32° = 189.84 · 0.529919 = 100.59987 ≈ 100.6 ft Answer: A ) 100.6 feet
