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Zigmanuir [339]
3 years ago
5

Mike is putting a ladder up against his mothers house to clean the roof. His mothers house is 24 feet tall and he is placing the

base of his ladder 7 feet away from the bottom of the house. How long is the ladder he is using
Mathematics
1 answer:
levacccp [35]3 years ago
3 0

The length of the ladder is 25 feet.

<u>Explanation:</u>

Height of the House, h = 24 feet

Distance between the house and the ladder, b = 7 feet

length of the ladder, x = ?

The house makes 90° with the base of the ladder.

Using pythagoras  theorm,

x² = h² + b²

x² = (24)² + (7)²

x = √625

x = 25

Therefore, the length of the ladder is 25 feet.

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Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7)  + (x² - 2x ) + (x +3)  + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x²  - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

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- X+3  = 5 + 3 = 8

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8 + 8 + 15 + 12 = 43

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Answer:

Step-by-step explanation:

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There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

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c = 70

d = - 600

There is only 1 real solution: x = 15

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That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

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