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mart [117]
3 years ago
10

What height on the wall will a 15 foot ladder reach if its plaxed 3.5 feet from the base of a wall

Mathematics
2 answers:
quester [9]3 years ago
7 0
I would be happy to help with this question!
you would need to use the pythagorean theorem inputting 3.5 for a and 15 for c. after this you will need to solve for b and you should get the answer of 14.6feet
mel-nik [20]3 years ago
5 0

<u>Answer</u>


= 14.6 feet


<u>Explanation</u>

The length of the ladder is 15 feet and it is place against the wall 3.5 feet from the base of the wall.

This makes a right triangle with a base length of 3.5 feet and a hypotenuse of 15 feet.

So, we can use the pythagorean theorem to calculate the height required.

a² = c² - b²

Where a and b are the legs of the right triangle and c is the hypotenuse.

a² = c² - b²

h² = 15² - 3.5²

h² = 225 -12.25

= 212.75


h = √212.75

= 14.58595215


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