Carlos didn't earn enough for the last apartment he was looking at, so he is still searching. He found one that costs $625 per m
onth, but they require that the cost of rent be no greater that a third of his monthly income. If he must earn at least 3 times the cost of his rent, what is the smallest amount of money that Carlos needs to make per month to be approved to move in?
Assuming the building meets the ground at right angles, the right triangle formed has side length 10 ft and hypotenuse 15 ft. Then the other side length (d) is given by the Pythagorean theorem as ...
d² + 10² = 15²
d² = 225 -100 = 125
d = √125 = 5√5 ≈ 11.2 . . . feet
The bottom of the ladder is about 11.2 feet from the building