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

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.

This question is part of year 9 - semester one maths test
Asked by Brad, Last updated: Oct 18, 2020

+ Answer
Request
Question menu
Vote up Vote down

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.

upvote downvote
Reply 

brad75

brad

brad75
Brad

Answered May 06, 2018

16m
upvote downvote
Reply 

Advertisement
Advertisement
Search for Google images Google Image Icon
Select a recommended image
Upload from your computer Loader
Image Preview
Search for Google images Google Image Icon
Select a recommended image
Upload from your computer Loader
Image Preview
Search for Google images Google Image Icon
Select a recommended image
Upload from your computer Loader

Email Sent
We have sent an email to your address "" with instructions to reset your password.