A tree grows vertically on a slope which has an incline of 27 degrees. When the sun is at an elevation of 78 degrees, the tree casts a shadow of 48 feet directly down the slope.

it is 10:24 a.m.

Um. sorry but it's not asking for the time.

Susan, check out the answer from the related question below this one.

Math - Reiny, Tuesday, September 20, 2016 at 11:16pm

sorry about the time. I had to guess at the unasked question.

To determine the height of the tree, we can use trigonometry and the given information about the slope angle, sun's elevation, and length of the shadow.

Let's start by visualizing the problem. Imagine a right triangle formed by the tree, its shadow, and the slope. The side opposite to the angle of elevation is the height of the tree, and the side adjacent to the angle of elevation is the length of the shadow.

From trigonometry, we know that:

tan(angle of elevation) = height of the tree / length of the shadow

In this case, the angle of elevation is 78 degrees and the length of the shadow is 48 feet. Therefore, we can set up the equation as:

tan(78 degrees) = height of the tree / 48 feet

Now, let's solve for the height of the tree:

height of the tree = tan(78 degrees) * 48 feet

Using a calculator, we can find the value of tan(78 degrees)≈5.67128028

height of the tree ≈ 5.67128028 * 48 feet

height of the tree ≈ 271.92 feet

Therefore, the height of the tree is approximately 271.92 feet.