from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees.

a. how far from the church was the second elevation taken?
b. calculate the height of the church spire.

a. Tan35 = h/(d+30), h = (d+30)Tan35).

Tan55 = h/d, h = d*Tan55.

(d+30)Tan35 = d*Tan55.
(d+30)0.7 = 1.43d, d = ?

b. h = d*Tan55.