Answer:
15.10 ft to nearest hundredth.
Explanation:
We have 2 right triangles one within the other
For the larger triangle
tan 43 = h / 65 where h is the total height to the top of steeple from ground
h = 65 tan 43
For small triangle
tan 35 = h2 / 65 where h2 is the hoght of the bottom of steeple from the ground
h2 = 65 tan 35
So height of the steeple
= h - h2
= 65 tan43 - 65 tan35
= 15.099 feet.