145k views
5 votes
A person standing 306 feet from the base of a church observed the angle of elevation to the church’s steeple to be 20°. How tall is the church. Give answer to the nearest whole number

User Darek
by
5.7k points

1 Answer

0 votes

Solution

- The solution steps are given below:


\begin{gathered} \text{ Applying SOHCAHTOA, we have:} \\ (h)/(306)=\tan20 \\ h=306\tan20 \\ \\ h=111.374...ft\approx111ft\text{ \lparen To the nearest whole number\rparen} \end{gathered}

Final Answer

111 ft

A person standing 306 feet from the base of a church observed the angle of elevation-example-1
User Cass
by
5.3k points