Math, asked by Pos3idon14, 3 months ago

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 A. 3.5 B. 8.5 C.12 feet.
The angle of depression from the hoop to Lisa is A. Complementary B. Congruent C. Supplementary 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 A. Inverse Cosine B. Inverse Sine C. Inverse Tangent function.
The angle of depression, rounded to the nearest degree, is approximately A. 19 B. 21 C. 71 degrees.

Answers

Answered by amitnrw
11

Given : A diagram

A girl standing at 10 feet horizontal distance from basket  with eye at 5 ft level seeing a basket at 8.5 feet height

To Find : The length of the shortest leg of the right triangle that is formed is A. 3.5 B. 8.5 C.12 feet.

The angle of depression from the hoop to Lisa is A. Complementary B. Congruent C. Supplementary 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 A. Inverse Cosine B. Inverse Sine C. Inverse Tangent function.

The angle of depression, rounded to the nearest degree, is approximately A. 19 B. 21 C. 71 degrees.

Solution:

Right angle triangle formed  8.5 = 3.5 ft  and 10 ft  ( perpendicular sides)

Hypotenuse = √10² + (3.5)²  = 10.595 ft

The length of the shortest leg of the right triangle that is formed is  3.5  feet

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

to find the measure of the angle of depression from the top of the hoop to  Lisa use the  Inverse Tangent function.

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

angle of depression  = tan⁻¹(3.5/10) = 19.29°  = 19°

The angle of depression, rounded to the nearest degree, is approximately 19°

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Attachments:
Answered by ihsaniyg
0

Answer:

It is b

Step-by-step explanation:

because the angle equals to the answer

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