a person standing 400 feet from the base of a mountain measures the angle of elevation from the ground to the top of the mountain to be 25 degrees, the person then walk 500 feet straight back and measures the angle of elevation to now be 20 degrees, how tall is the mountain?

Answer 1

draw the diagrams. Label the distance from the first position to the base of the peak as d, and the height of the Mountain from base as H.

H/d=tan25 or d=H/tan25

H/(d+500)=Tan20

solve for H.

Answer 2

Tower 1 is 36° and it's 1675m away from tower 2, what is the elevation

Answer 3

829.27