SOLUTION: At a point A on level ground, the angle of elevation to the top of a shed is 20 degrees. If a person walked 30.0 m away from point Am from the shed, to point B, the angle of elevat

Algebra ->  Finance -> SOLUTION: At a point A on level ground, the angle of elevation to the top of a shed is 20 degrees. If a person walked 30.0 m away from point Am from the shed, to point B, the angle of elevat      Log On


   



Question 1169133: At a point A on level ground, the angle of elevation to the top of a shed is 20 degrees. If a person walked 30.0 m away from point Am from the shed, to point B, the angle of elevation decreases by 12 degrees. Find the height of the shed.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try to draw and label the description. If y is how tall the shed, x is how far from ground level of shed to point A, and finding that angle of elevation from point B is 8 degrees, then:
system%28tan%2820%29=y%2Fx%2Ctan%288%29=y%2F%28x%2B30%29%29

Substitute for x and solve for y.
.
.
y=%283%2Atan%288%29tan%2820%29%29%2F%28tan%2820%29-tan%288%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

At a point A on level ground, the angle of elevation to the top of a shed is 20 degrees. If a person walked 30.0 m away from point Am from the shed, to point B, the angle of elevation decreases by 12 degrees. Find the height of the shed.
From what the other person stated, you'll NEVER find the height of the shed!
Try doing it yourself!! You'll probably have a better chance of coming up with the correct answer!