Question

Workers need to make repairs on a building. A boom lift has a maximum height of 60 ft at an angle of 48. If the bottom of the boom is 60 ft from the​ building, can the boom reach the top of the​ building? Explain.

Answer 1

sin(48°) = 52/x

x sin(48°) = 52

x = 52/tan(48°) = 46.8 feet

length of boom = √(46.8^2 + 52^2) = about 70.0 feet. The distance from the bottom of the boom to the top of the building is 8 + 70.0 = 78.0 feet, so the boom can reach the top of the building.