Question

A 12 foot ladder leaning against the top of a tree. It makes a 65° angle with the ground. How tall is the tree?

Answer 1

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.