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Trigonometry Assessment

Last updated almost 5 years ago

18 questions

1

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?

1

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?

1

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?

1

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?

1

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?

1

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?

1

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?

1

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?

1

Select all that apply

1

Consider triangle KEF. Which equations are true?

1

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

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

1

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

1

If sinx = a, which statements are always true?