A 25-foot flag pole casts a shadow of 40 feet. What is the approximate height from the top of the flag pole to the top of the shadow?

45

47

65

You can use Pythagorean theorem for this question. The thing you are describing here is a simple triangle, where you have the values for two sides, a = 25, and b = 40. Pythagorean theorem is c^2 = a^2 + b^2 so let us apply it here.

c^2 = a^2 + b^2

c^2 = 25^2 + 40^2

c^2 = 625 + 1600

c^2 = 2225

c = √2225

c = √25*89

c = 5 √89

If you need to calculate in feet, then you just see what the square root of 2225 is, and that is 47.17 feet.