Question

A basketball hoop is shown. Lisa is standing 10 feet from the basketball net. The basketball net is 8.5 feet high. Lisa apostrophe s line of vision is 5 feet off the ground. When she looks up to the net, a right triangle is formed.
Use the diagram and complete the steps to find the measure of the angle of depression from the top of the hoop to Lisa.

The length of the shortest leg of the right triangle that is formed is
feet.

The angle of depression from the hoop to Lisa is
to the angle of elevation from Lisa’s line of sight to the hoop.

Because the lengths of the opposite and adjacent sides are known, use the
function.

The angle of depression, rounded to the nearest degree, is approximately
degrees.

Answer 1

1. The length of the shortest leg of the right-angle triangle is 3.5 feet.
2. The angle of depression is complementary to the angle of elevation.
3. You should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.
4. The angle of depression is approximately 19 degrees.

How to determine the parameters?

By critically observing the basketball hoop (see attachment), we can logically deduce that the basket's height from Lisa's horizontal sight is the same as the length of the shortest leg of the right-angle triangle:

Shortest leg = 8.5 - 5

Shortest leg = 3.5 feet.

In Geometry, the sum of all the angles in a triangle is equal to 180°:

x + y + z = 180

x + y + 90 = 180

x + y = 180 - 90

x + y = 90° (complementary angle).

Therefore, the angle of depression is complementary to the angle of elevation.

Also, you should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.

How to find the angle of depression?

Angle of depression = tan⁻¹(Opposite/Adjacent)

Angle of depression = tan⁻¹(3.5/10)

Angle of depression = 19.29° ≈ 19°.

Learn more about right-angle triangle here: brainly.com/question/9449953

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