A person standing 299 feet from the base of a church observed the angle of elevation to the church's steeple to be 50 How tall is the church? (Give your answer to the nearest whole number)

Question

A person standing 299 feet from the base of a church observed the angle of elevation to the church's steeple to be 50 How tall is the church? (Give your answer to the nearest whole number)

_____ feet

Answer 1

You have the dimension of the adjacent side. You are looking for the opposite side. Use tangent to calculate this.

Let x = the height of the building

tan = O/A plug in values

tan 50 = x/299

x = 299 tan 50

x=356 ft