SOLUTION: A surveyor stands 150 fee from the base of a viaduct and measures the angle of elevation to be 42.2 degrees. His eye level is 6 feet above ground. What is the height of the viaduct

Question 872580: A surveyor stands 150 fee from the base of a viaduct and measures the angle of elevation to be 42.2 degrees. His eye level is 6 feet above ground. What is the height of the viaduct to the nearest foot?
Answer by Porto12(1) (Show Source): You can put this solution on YOUR website!
ok so what you wanna do is draw a right angle triangle representing the problem with the height being the opposite side to the angle given and the distance being the adjacent side. using SOHCAHTOA we know that we have to use tan since we are give the adjacent and are finding the opposite side (Tan angle=opposite/adjacent)
so know we plug in what we know
tan42.2degrees=H/150 feet
know all we have to do is cross multiply
(tan42.2 degrees)(150 feet)= H
H=136.0116945
H=136 feet when rounded
hope that helps
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