Question

From a point 70 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 36° and 53°44' respectively. How tall is the steeple? Sketch the problem situation.

Answer 1

You should first sketch it, as suggested. Let's see your best work.

Answer 2

No good. Get rid of that 36º. It's a right triangle. 53 + 36 is NOT 90.

From the SAME POINT on the ground, draw TWO right triangles to the church. One you have correct. Draw another that hits lower on the church and has Angle of Elevation 36º.