What is the distance between the two pegs? - ProProfs Discuss
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What is the distance between the two pegs?

A flagpole is supported by two wires, each of length 17 m, which are pegged to the ground as shown. Assume that a straight line can be drawn from peg to peg and that the flagpole is located at the midpoint of this line. The flagpole is 15 m high.

Asked by Brad, Last updated: Apr 17, 2024

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2 Answers

Barry Mclean

Barry Mclean

Ask me anything!

Barry Mclean
Barry Mclean, Sales Manager, MBA, Ewa

Answered Apr 03, 2019

The correct answer isto solve for the missing side of the triangle, we must use the Pythagorean Theorem where a² + b² = c². A and B are the legs and C is the hypotenuse, the longest side of a triangle. The missing side is B so the formula we should be using is b² = c² - a² that will be (17m)² - (15m)². You will get 289 - 225 = 64.

Then, get the square root of 64 which is 8. This is still not the final answer as you can see from the diagram, it has 2 triangles overlapping each other that has the same measurements. Multiply 8 by 2 and you will get your final answer of 16 m.

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brad75

brad

brad75
Brad

Answered May 06, 2018

16m
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