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How long is the wire stretching from the top of a 22 foot telephone pole to the ground 8 feet from the pole?

How long is the wire stretching from the top of a 22 foot telephone pole to the ground-example-1
User Aracem
by
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2 Answers

5 votes

Answer: 23.4

Step-by-step explanation:

c = hypotenuse or x

22^2 + 8^2 = c^2

c^2 = 548


\sqrt{ c^(2) } = √(548)

c = 23.409 rounded to the tenths is 23.4

User Fadli
by
5.7k points
1 vote
x is the hypotenuse.

Let c = hypotenuse

To solve this, you'll need to follow the a² + b² = c² formula.

Let a and b = other sides

Plug into corresponding variables.

(22)² + (8)² = c²

Simplify

484 + 64 = c²

c² = 548

Isolate the c. root both sides

√c² = √548

c = √548

c = 2√137, or 23.409

x = 23.409

hope this helps


User Gokhanakkurt
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5.9k points