A tilted tree stands at a height of 30.6 feet. The shadow it casts is 37.8 feet long, 12.1 feet past a perpendicular line from top of the tree to the ground. If the tree is actually 32.9 feet tall, what angle does the tree make with the ground?
The Pythagorean theorem will come in handy to calculate the last side of the triangle. Once all the sides are known, we can find the angle we want.
The tree makes an angle of approximately 54.9° with the ground, or is tilted at an angle of 35.1°.