Question

a 30 ft waterslide forms a 45 degree angle with the surface of the water. How high is the top of the slide?

Answer 1

Following this to its natural conclusion, we will get\[2a^2=900 \implies a^2=450 \implies a=15 \sqrt2 \approx 21 feet\]

Answer 2

If you feel compelled to use a calculator, you can get more digits, but they won't be very important.