Final answer:
To find the height of the tree, we can use trigonometry. The ladder forms a right triangle with the ground and the height of the tree being the opposite side. Using the sine function, we can solve for the height.
Step-by-step explanation:
To find the height of the tree, we can use trigonometry.
The ladder forms a right triangle with the ground and the height of the tree being the opposite side.
Using the sine function, we can solve for the height:
sin(65°) = opposite / hypotenuse
sin(65°) = h / 12
Multiplying both sides of the equation by 12 gives:
12 * sin(65°) = h
Using a calculator, we find that h ≈ 10.96.