Answer:
The height of the tree is √65 or 8.06 feet
Step-by-step explanation:
Let's use the Pythagorean theorem to find out the height of the tree, this way:
Hypotenuse = length of the ladder = 9 feet
Leg 1 = Distance from the base of the tree to bottom of the ladder = 4 feet
Leg 2 = Height of the tree
Now, replacing with the real values we have:
Leg 2 ² = Hypotenuse² - Leg 1²
Leg 2² = 9² - 4²
Leg 2² = 81 - 16
Leg 2² = 65
√Leg 2² = √65
Leg 2 = √65 or 8.06 feet
The height of the tree is √65 or 8.06 feet
