Question

A surveyor, standing 100 ft. from the base of a building, measures the angle of elevation to the top of the building to be 75 degrees. How accurately must the angle be measured for the percentage error in estimating the height of the building to be less than 4%?

Answer 1

right well height = 100tan75
= 373.205 Ft

dH/da = 100sec^2(a)

Fractional change in height = dH/H = 0.04

0.04 = 100 sec^2 a da/H
da = 0.04 H / 100 sec^2a
da = 0.01

Hope this helps