A tower cast a shadow 11 feet long the distance from the top of the tower to thr end of the shadow is 61 feet how many feet tall is the tower

We have an rectangle triangle

Pythagoras therorem:

hypotenuse²=side₁²+side₂²

hypotenuse=61 feet

side₁=11 feet

side₂=height

(61 feet) ² = (11 feet) ² + side₂²

3721 ft²=121 ft² + side₂²

side₂²=3721 ft²-121 ft²

side₂²=3600 ft²

side₂=√ (3600 ft²)

side₂=60 ft.

heigth=60 feet