Answer:
h = 231 feet
Step-by-step 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.
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=248\times \tan(43)\\\\=231.26\ \text{feet}[/tex]
or
h = 231 feet
So, the height of the church is 231 feet.
