Question

as you walk on a straight level path toward a mountain, the measure of the angle of elevation to the peak from one point is 33 degrees. From a point 1000 feet closer, the angle of elevation is 35 feet. How high is the mountain?

Answer 1

as usual, draw a diagram. You will see that the height of the mountain obeys

h/x = tan35
h/(x+1000) = tan33

so,

h/tan33 = h/tan35 + 1000
h/.6494 = h/.7002 + 1000
h = 8951 ft

Answer 2

Yes