If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?

9.000000001

Step-by-step explanation:

If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13 ... is x / 15

(15 x cos of 53.13 ...) is x

So 15 x cos of 53.13 ... is 9.000000001 feet away.