Question

A squirrel on the ground sees a hole in a tree that could be its new home. The squirrel is 8 feet away

from the base of the tree and sees the hole at an angle of elevation of 43°. How high up the tree is the
hole? Round your answer to the nearest hundredth foot.

Answer 1

We can use trigonometry to solve this problem.

Let h be the height of the hole above the ground. Then, we have:

tan(43°) = h/8

Solving for h, we get:

h = 8 tan(43°)

h ≈ 7.07 feet

Therefore, the hole is approximately 7.07 feet above the ground.

Answer 2

We can use trigonometry to solve this problem. Let's denote the height of the hole as h. Then, we can use the tangent function:

tan(43°) = h/8

Multiplying both sides by 8, we get:

h = 8 * tan(43°)

Using a calculator, we get:

h ≈ 7.19 feet

Therefore, the hole in the tree is approximately 7.19 feet high. Rounded to the nearest hundredth foot, the answer is 7.19 feet.