Question 413812
Hi ML!

Your question is about trigonometry; you may remember the expression "SOH CAH TOA" from school. SOH stands for "sin = opposite divided by hypotenuse," CAH for "cos = adjacent by hypotenuse" and TOA for "tan = opposite by adjacent."

You are right in saying that the ladder is the hypotenuse in this triangle. Lets start with the length by the street:
This is "adjacent" to the angle we know, so we need the equation with the adjacent in it, as well as the other length we know: the hypotenuse. This is the CAH equation, so use {{{cos (your angle) = (adjacent)/(hypotenuse)}}}. This gives {{{adjacent = hypotenuse * cos(your angle)}}} so your length is 31.5 feet.

The process is exactly the same for the other length (the "opposite") so see if you can do that yourself. You'll need the SAH equation and you should get 45.0 feet.