Question

A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall is the church?

Answer 1

71.764 feet

Explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764 feet