Question

four deck for george conversion
martin must change the light bulb on the light on the side of his barn. the
lights is 8 feet high. he has a 10 foot ladder that he must lean on the barn in
order to change the bulb. how far, in feet, from the bottom of the barn must
he put the bottom of the ladder.
a 10
b 8
c 6
d 2

Explanation:

Step1: Apply Pythagorean theorem

Let \(a\) be the distance from the bottom of the barn to the bottom of the ladder, \(b = 8\) (height of the light) and \(c=10\) (length of the ladder). The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), so \(a^{2}=c^{2}-b^{2}\).

Step2: Substitute values

Substitute \(b = 8\) and \(c = 10\) into the formula: \(a^{2}=10^{2}-8^{2}=100 - 64=36\).

Step3: Solve for \(a\)

Take the square root of both sides: \(a=\sqrt{36}=6\).

Answer:

C. 6