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A pole is made to lean against a wall. The base of the pole is placed 4 feet away from the wall. The top of the pole reaches 15 feet up the wall. How long is the pole?

A. √ 153 ft.
B. √ 241 ft.
C. √ 161 ft.
D. √ 245 ft.

Answer :

Hrishii

Step-by-step explanation:

Here, pole is making a right triangle with the wall and pole is acting as hypotenuse. Thus by using Pythagoras theorem the length of pole can be calculated as:

[tex]length \: of \: pole = \sqrt{ {4}^{2} + {15}^{2} } \\ = \sqrt{16 + 225} \\ = \sqrt{241} ft \\ \red{ \boxed{\therefore \: length \: of \: pole =\sqrt{241} \: ft}}[/tex]

Hence, option B is the correct answer.

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