SOLUTION: Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 25°11'

Algebra ->  Trigonometry-basics -> SOLUTION: Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 25°11'      Log On


   



Question 1014766: Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. Find the height of the mountain to the nearest foot if Bob is 19,427.5 feet from the center of the mountain at the base.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Draw this and the mountain height is the short leg of a right triangle.
tangent 25 d 11 m=x/19427.5, that is opposite over adjacent.
x=(19427.5)*tan 25d11m
x=9135 feet.