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Topic 8 Review #3

Last updated about 1 month ago

29 Nsɛmmisa

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24.

A ladder has a safety warning that says that the ladder is safe as long as the angle it makes with the ground does not exceed 70^o when it is leaned against a wall. If the ladder is 20 feet, how far can it reach vertically when leaned against a wall? Round to the nearest tenth.

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25.

An air traffic controller at an airport sights a plane at an angle of elevation of 28^o. The pilot reports that the plane's altitude is 4500 feet. Find the horizontal distance from the control tower to the plane. Round to the nearest tenth.

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1.

What is sine of alpha?

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2.

What is cosine of alpha?

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3.

What is tangent of alpha?

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4.

What is sine of beta?

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5.

What is cosine of beta?

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6.

What is tangent of beta?

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7.

What is sine of 30 degrees. Simplest form. (no decimals)

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8.

What is sine of 60 degrees. Simpliest radical form

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9.

What is cosine of 30 degrees. In simplest radical form.

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10.

What is cosine of 60 degrees. Simplest form. (no decimals)

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11.

For what angle would sine and cosine have the same value? (Hint: use your answers from above to help you.)

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12.

Based on the figure, select all the true equations.

A. tan(53^o) = 8/6

B. sin(53^o) = 4/5

C. tan(90^o) = 10/6

D. cos(37^o) = 4/5

E. sin(37^o) = 6/8

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13.

Which trigonometric function could be used to find the value of x?

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14.

Which trigonometric function could be used to find the value of y?

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15.

What is the value of a? Round to the nearest tenth.

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16.

What is the value of b? Round to the nearest tenth.

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17.

What is the value of c? Round to the nearest tenth.

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18.

What is the value of d? Round to the nearest tenth.

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19.

What is the value of x? Round to the nearest tenth.

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20.

What is the value of x? Round to the nearest tenth.

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21.

What is the length of TV? Round to the nearest tenth.

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22.

What is the length of TU? Round to the nearest tenth.

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23.

What is the measure of angle V? Round to the nearest tenth.

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26.

An air traffic controller at an airport sights a plane at an angle of elevation of 28^o. The pilot reports that the plane's altitude is 4500 feet. Find the actual distance from the control tower to the plane. Round to the nearest tenth.

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27.

The pilot of a helicopter sights a fire at an angle of depression of 11^o. The helicopter's altitude is 1700 feet. To the nearest foot, what is the horizontal distance from the helicopter to the fire?

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28.

A mountain pass decreases in altitude by 200 feet over 1,100 feet of actual driving distance. What is the angle of descent of the road? Round to the nearest tenth.

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29.

A mountain pass decreases in altitude by 200 feet over 1,100 feet of actual driving distance. Gavin has worn brake pads and isn't supposed to drive at an angle of descent more than 12 degrees for extended amounts of time.

Gavin .