Question

A person standing 248 feet from the base of a church observed the angle of elevation to the

church's steeple to be 43. How tall is the church? (Give your answer to the nearest whole number)

How tall is the church?

Answer 1

h = 231 feet

Explanation:

Given that,

A person standing 248 feet from the base of a church, x = 248 feet

The angle of elevation to the church's steeple to be 43°.

We need to find the tall of the church. Let the length of the church is h. Using trigonometry to find it.

`\tan\theta=(P)/(B)\\\\\tan\theta=(h)/(x)\\\\h=x\tan\theta\\\\h=248* \tan(43)\\\\=231.26\ \text{feet}`

or

h = 231 feet

So, the height of the church is 231 feet.