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Mrs. Marcelino
Unit 8
Name: _____________________
Period: _____
Pre-Assessment: Unit 8
8A
8B
8C
8D
8E
Define the six trigonometric ratios of a right triangle, and solve a right triangle for all sides and
angles.
Use the six trigonometric ratios from right triangle trigonometry to solve problems of indirect
measurement (finding height, distance to the base of an object, angle of depression/elevation).
Derive (prove) the Law of Sines. Solve triangles using the Law of Sines and explain which method
should be used to find the solution(s).
Derive (prove) the Law of Cosines. Solve triangles using the Law of Cosines and explain which
method should be used to find the solution(s).
Design and solve problems related to navigation using “complex” right triangle trigonometry, the
Law of Sines and the Law of Cosines and explain the analysis leading to the solutions.
8F
Find the area of any triangle using the formula
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A = absinq
2
Directions: Show all work, and answer every question. Round every answer to three decimal
places. Clearly mark your answers by circling or boxing your answers.
1. (8A) Sketch a right triangle that has acute angle  , and find the exact value (no calculator) of
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the other five trigonometric ratios of  for sin   .
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2. (8A) Solve the triangle.
3. (8B) From the top of the Stratosphere in Las Vegas, the angle of depression to the parking lot
of The Circus-Circus, which is 100 feet away, is 85º. How tall is the Stratosphere?
Mrs. Marcelino
Unit 8
Name: _____________________
Period: _____
4. (8B) To measure the height of the cloud cover over an airport, a worker shines a spotlight
upward at an angle of elevation of 75º. An observer that is 600 meters away measures the angle
of elevation to the spot of light to be 45º. Find the height of the cloud cover.
5. (8C or 8D) Sketch and then solve the triangle with the following values:
  50  ,   68 and c  230
6. (8C or 8D) Solve for x.
Mrs. Marcelino
Unit 8
Name: _____________________
Period: _____
7. (8E) A car travels along a straight road, heading east for 1 hour, then travels for 30 minutes
on another road that is N 45º E. If the car has maintained a constant speed of 40 mi/h, how far is
it from its starting point?
8. (8E) A radio antenna is supported by two guide wires, 165 feet and 180 feet long. Each wire
is attached to the top of the antenna and anchored to the ground on opposite sides of the antenna.
The shorter wire has an angle of elevation of 67º. How far apart are the wires at the ground?
9. (8F) What is the area of a triangle with side lengths 11, 100, and 101?
10. (8F) What is the area of the parallelogram?
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