SOLUTION: A surveyor is standing 100 meters from a bridge. She find the angle of elevation to the top of the bridge is 35 degrees. Her eye level is 1.45 meters. Find the bridge's height.

Algebra ->  Triangles -> SOLUTION: A surveyor is standing 100 meters from a bridge. She find the angle of elevation to the top of the bridge is 35 degrees. Her eye level is 1.45 meters. Find the bridge's height.      Log On


   

Question 1030295: A surveyor is standing 100 meters from a bridge. She find the angle of elevation to the top of the bridge is 35 degrees. Her eye level is 1.45 meters. Find the bridge's height.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So make a right triangle with an opposite side of Y and adjacent side of 100.
tan%2835%29=Y%2F100
Y=100tan%2835%29
Y=70.0m
So then add the height of her eye level to get the bridge height.
H=Y%2B1.45
H=71.45m