Trigonometry Assessment

Last updated over 5 years ago

18 questions

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G.SRT.C.8.a

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G.SRT.C.8.a

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G.SRT.C.8.a

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G.SRT.C.8.b

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G.SRT.C.8.b

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G.SRT.C.8.a

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G.SRT.C.8.a

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G.SRT.C.8.a

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.6

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G.SRT.C.7

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G.SRT.C.7

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G.SRT.C.7

A surveyor is sitting on the balcony of an apartment, 232 feet away from a clock tower. Using a clinometer, the surveyor estimates that the top of the clock tower creates a 22 degree angle of elevation with the balcony at a point that is 24 feet above the ground, as represented by the diagram. To the nearest tenth of a foot, how high is the top of the clock tower above the ground?

86.9 feet

117.7 feet

93.7 feet

110.9 feet

A car approaches a skyscraper. When the car is at point T, the angle of elevation to the top of the building is 28 degrees. After traveling a distance of 60 m, the car reaches point R, and the angle of elevation at point R to the top of the building is 34 degrees, as shown. Approximately how tall is the building?

211 m

151 m

223 m

283 m

A flagpole casts a shadow of 35 feet when the angle of elevation to the sun is 28 degrees, as shown. What is the height of the flagpole?

18.61 feet

19.61 feet

16.43 feet

30.90 feet

A student creates a scale drawing for a triangular vegetable garden. The next step to finalize the drawing is to determine the side lengths. What is the approximate length of side LA?

5.41 cm

7.85 cm

8.73 cm

12.67 cm

The box in the figure is suspended by a cable L meters long attached at two points on the ceiling. Which equation can be used to determine L, the length of the cable?

d1d2(cosβ+cosθ)

d1cosβ+d2cosθ

The top of a tree creates a 35 degree angle of elevation with a point on the ground that is 58 feet away from its base. What is the height, to the nearest tenth of a foot, of the tree?

47.5 feet

82.9 feet

70.8 feet

40.6 feet

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

15.26 m

28.81 m

35.21 m

11.25 m

An 18-foot ladder is leaning against the side of a building. The angle between the ladder and the ground is 30 degrees. How high up the building, from the ground, is the top of the ladder?

6 feet

10.4 feet

15.6 feet

9 feet

Select all that apply

Consider triangle KEF. Which equations are true?

What is the value of x in the figure. to the nearest tenth of a centimeter?

21.0 cm

10.9 cm

8.8 cm

12.1 cm

There is not enough information to determine the value of 

30.0 degrees

60.0 degrees

26.6 degrees

The sin(F) is three times smaller than 1-sin(F')

The sin(F) is equal to 1-sin(F')

The sin(F) is equal to sin(F')

The sin(F) is three times smaller than sin(F')

What is the vaule of z in the equation sin(4z) = cos(30+2z)?

30 degrees

5 degrees

20 degrees

10 degrees

Consider the equation.
Which value of x, in degrees, makes the equation true?

3.4 degrees

0 degrees

4.3 degrees

-2 degrees

If sinx = a, which statements are always true?

A surveyor is sitting on the balcony of an apartment, 232 feet away from a clock tower. Using a clinometer, the surveyor estimates that the top of the clock tower creates a 22 degree angle of elevation with the balcony at a point that is 24 feet above the ground, as represented by the diagram. To the nearest tenth of a foot, how high is the top of the clock tower above the ground?

86.9 feet

117.7 feet

93.7 feet

110.9 feet

A car approaches a skyscraper. When the car is at point T, the angle of elevation to the top of the building is 28 degrees. After traveling a distance of 60 m, the car reaches point R, and the angle of elevation at point R to the top of the building is 34 degrees, as shown. Approximately how tall is the building?

211 m

151 m

223 m

283 m

A flagpole casts a shadow of 35 feet when the angle of elevation to the sun is 28 degrees, as shown. What is the height of the flagpole?

18.61 feet

19.61 feet

16.43 feet

30.90 feet

A student creates a scale drawing for a triangular vegetable garden. The next step to finalize the drawing is to determine the side lengths. What is the approximate length of side LA?

5.41 cm

7.85 cm

8.73 cm

12.67 cm

The box in the figure is suspended by a cable L meters long attached at two points on the ceiling. Which equation can be used to determine L, the length of the cable?

d1d2(cosβ+cosθ)

d1cosβ+d2cosθ

The top of a tree creates a 35 degree angle of elevation with a point on the ground that is 58 feet away from its base. What is the height, to the nearest tenth of a foot, of the tree?

47.5 feet

82.9 feet

70.8 feet

40.6 feet

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

15.26 m

28.81 m

35.21 m

11.25 m

An 18-foot ladder is leaning against the side of a building. The angle between the ladder and the ground is 30 degrees. How high up the building, from the ground, is the top of the ladder?

6 feet

10.4 feet

15.6 feet

9 feet

Select all that apply

Consider triangle KEF. Which equations are true?

What is the value of x in the figure. to the nearest tenth of a centimeter?

21.0 cm

10.9 cm

8.8 cm

12.1 cm

There is not enough information to determine the value of 

30.0 degrees

60.0 degrees

26.6 degrees

The sin(F) is three times smaller than 1-sin(F')

The sin(F) is equal to 1-sin(F')

The sin(F) is equal to sin(F')

The sin(F) is three times smaller than sin(F')

What is the vaule of z in the equation sin(4z) = cos(30+2z)?

30 degrees

5 degrees

20 degrees

10 degrees

Consider the equation. 
Which value of x, in degrees, makes the equation true?

3.4 degrees

0 degrees

4.3 degrees

-2 degrees

If sinx = a, which statements are always true?

Trigonometry Assessment

Trigonometry Assessment

A flagpole casts a shadow of 35 feet when the angle of elevation to the sun is 28 degrees, as shown. What is the height of the flagpole?

A student creates a scale drawing for a triangular vegetable garden. The next step to finalize the drawing is to determine the side lengths. What is the approximate length of side LA?

The box in the figure is suspended by a cable L meters long attached at two points on the ceiling. Which equation can be used to determine L, the length of the cable?

The top of a tree creates a 35 degree angle of elevation with a point on the ground that is 58 feet away from its base. What is the height, to the nearest tenth of a foot, of the tree?

The angle of elevation of the top of Tower X from Tower Y is 32 degrees. If Tower X is 60 m tall, the Tower Y is 42 m tall, how far is the distance, d, between the base of Tower X and the base of Tower Y?

An 18-foot ladder is leaning against the side of a building. The angle between the ladder and the ground is 30 degrees. How high up the building, from the ground, is the top of the ladder?

Select all that apply

Consider triangle KEF. Which equations are true?

What is the value of x in the figure. to the nearest tenth of a centimeter?

What is the vaule of z in the equation sin(4z) = cos(30+2z)?

Consider the equation. Which value of x, in degrees, makes the equation true?

If sinx = a, which statements are always true?

Consider the equation.
Which value of x, in degrees, makes the equation true?