Rational Number are set of numbers that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; for example: 6 can be expressed as 6/1 and 0.5 can be expressed as 1/2.

7 0

3 years ago

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1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The

Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = $\frac{opposite}{adjacent}$ = $\frac{12850}{hor}$ ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = $\frac{12850}{tan20}$ ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37 and angle of depression x, then

tanx° = $\frac{opposite}{adjacent}$ = $\frac{37}{65}$ , thus

x = $tan^{-1}$ ( $\frac{37}{65}$ ) ≈ 30° ( to the nearest degree )

4 0

3 years ago

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Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall con

Leno4ka [110]

It said the correct answer was the contractor

5 0

3 years ago

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