Question 1

A ladder 24 feet long leans against the side of a building, and the angle between the ladder and the building is  . 
A. Approximate the distance from the bottom of the ladder to the building. Give the answer to one decimal place.
B. If the distance from the bottom of the ladder to the building is increased by 2 feet, approximately how far does the top of the ladder move down the building? Give the answer to one decimal place.

Accepted Answer

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Question 2

A builder wishes to construct a ramp 23 feet long that rises to a height of 4.5 feet above level ground. Approximate the angle that the ramp should make with the horizontal. Round the answer to the nearest degree.

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Question 3

Find the period of the equation.

Accepted Answer

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Question 4

Estimate the horizontal asymptote.

Accepted Answer

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...

Question 5

A CB antenna is located on the top of a garage that is 17 feet tall. From a point on level ground that is 120 feet from a point directly below the antenna, the antenna subtends an angle of  , as shown in the figure. Approximate the length of the antenna. Give the answer to one decimal place.

Accepted Answer

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Question 6

Scientists sometimes use the formula  to simulate temperature variations during the day, with time t in hours, temperature f ( t ) in  , and t=0 corresponding to midnight. Assume that f ( t ) is decreasing at midnight. Determine values of a, b, c, and d that fit the information: the high temperature is 19  , and the low temperature of -19  occurs at 4 A.M.

Accepted Answer

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Question 7

A rocket is fired at sea level and climbs at a constant angle of  through a distance of 10,500 feet. Approximate its altitude to the nearest foot.

Accepted Answer

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Question 8

Sketch the graph of the equation.

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Question 9

An airplane flying at a speed of 300 mi/hr flies from a point A in the direction  for 15 minutes and then flies in the direction  for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Accepted Answer

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Question 10

Find an equation using the cotangent function that has the same graph as  .

Accepted Answer

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Quiz 6: The Trigonometric Functions

A builder wishes to construct a ramp 23 feet long that rises to a height of 4.5 feet above level ground. Approximate the angle that the ramp should make with the horizontal. Round the answer to the nearest degree.

Find the period of the equation.

Estimate the horizontal asymptote.

A CB antenna is located on the top of a garage that is 17 feet tall. From a point on level ground that is 120 feet from a point directly below the antenna, the antenna subtends an angle of , as shown in the figure. Approximate the length of the antenna. Give the answer to one decimal place.

A rocket is fired at sea level and climbs at a constant angle of through a distance of 10,500 feet. Approximate its altitude to the nearest foot.

Sketch the graph of the equation.

An airplane flying at a speed of 300 mi/hr flies from a point A in the direction for 15 minutes and then flies in the direction for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Find an equation using the cotangent function that has the same graph as .