Question

HELP PLEASE GIVING 30 POINTS

Answer 1

the ladder is 5 ft from the base of the wall.

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To find the unknown length, we need to use the Pythagorean Theorem

• The Pythagorean Theorem is a²+b²=c²

Since the legs are x and 12 this means that a=x and b=12

Also, since the hypotenuse is 13, this means that c=13.

• Plug in a=x, b=12, c=13
• x²+12²=13²
• x²+144=169

Subtract 144 from both sides.

• x²=169-144

Combine like terms.

• x²=25

Take the square root of both sides.

• x=√25

x=5 Simplify the square root.

Answer:

So the solution is x=5 which means that the foot of the ladder is 5 ft from the base of the wall.