Question 282488: if you are standing 85 ft. from the base of a flagpole,and determine that at ground level,you would need to look up at a 30° angle to see the top of the flagpole,how tall is the flagpole. Round the height to tenths.
Answer by dabanfield(803)   (Show Source):
You can put this solution on YOUR website! if you are standing 85 ft. from the base of a flagpole,and determine that at ground level,you would need to look up at a 30° angle to see the top of the flagpole,how tall is the flagpole. Round the height to tenths.
Let h be the height of the flagpole. Since the angle of elevation is 30, the side opposite that angle is half the hypotenuse of the triangle formed by the person, the bottom and the top of the flagpole. So with the hypotenuse being 2*h, using the Pythagorean Theorem we have;
(2h)^2 = h^2 + 85^2
4h^2 = h^2 + 85^2
3h^2 = 85^2
Solve for h.
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