Question

Julie places her surveyors telescope on top of a tripod 3 feet above the ground and measures the height of the tree using an angle of elevation of 6 degrees. She measures the total height of a tree as being 28.61. How far from the tree is Julie?

Answer 1

Julie is approximately 282.21 feet away from the tree.

Step-by-step explanation:

To find the distance from the tree, we can use the tangent function. Let x be the distance from the tree. We can set up the following equation:

tan(6°) = (height of tree) / x

Plugging in the values, we have:

x = (height of tree) / tan(6°) = 28.61 / tan(6°)

Using a calculator, we can find that x ≈ 282.21 feet. Therefore, Julie is approximately 282.21 feet away from the tree.