SOLUTION: sighting the top of building, a surveyor measured the angle of elevation to be 45 degree the transit in 12 feet above the ground and 100 feet from the building. what is the buildin

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Question 971397: sighting the top of building, a surveyor measured the angle of elevation to be 45 degree the transit in 12 feet above the ground and 100 feet from the building. what is the buildings height?
a. 100 feet
b. 112 feet
c. 88 feet
d. 90 feet

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
tan(45) = h1 / 100, where h1 is height above the transit
h1 = 100 * tan(45)
h1 = 100
h(height of building) = 100 + 12 = 112
answer is b