The angle elevation from a point A to the top of the Washington Monument is 32'. From point B, which is on the same line but 55 feet closer to the monument, the angle of elevation to the top is 38'. Find the length of the Washington Monument.

Answer 1

I assume you mean degrees and not minutes
h is the height we want
x is distance to the monument from the closer point

tan 38 = h/x
tan 32 = h/(55+x)

x = h/tan 38 = 1.28 h

tan 32 = h/(55 + 1.28 h)

34.4 + .8 h = h

h = 172