A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.

44.4 feet

Step-by-step explanation:

Sin = opp/adj

opp is the height avove the surveyor's eye lvel

sin23 = opp/100

100 * sin23 = opp

39.073112848927376 = opp

Rounded 39.1

Building height

39.1 + 5.3 = 44.4 feet

47.7 ft

Step-by-step explanation:

tan= o/a

tan(23)= x/100

x=100/tan(23)

x= 42.4

42.4 + 5.3 = 47.7

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