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Unit 11 Review

This document provides a review for an honors geometry unit test on trigonometry. It includes definitions of sine, cosine, and tangent functions. There are problems involving right triangles, law of sines, law of cosines, finding areas with SAS formulas, and word problems involving angles of elevation/depression. Students are instructed to show all work and round to the nearest tenth at the end of problems.

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303 views4 pages

Unit 11 Review

This document provides a review for an honors geometry unit test on trigonometry. It includes definitions of sine, cosine, and tangent functions. There are problems involving right triangles, law of sines, law of cosines, finding areas with SAS formulas, and word problems involving angles of elevation/depression. Students are instructed to show all work and round to the nearest tenth at the end of problems.

Uploaded by

AliRaza
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Honors Geometry Name_________________________

Unit 11: Trigonometry REVIEW Date______________Period_______


The unit test will require you to show ALL work. Any answers should not be rounded until the very end, then rounded
to the nearest tenth.

Define the following:


1.Sine of an angle: 2.Cosine of an angle: 3. Tangent of an angle:

Complete the following:

4. sin A=________ 7. sin B=________

5. cos A=________ 8. cos B=________

6. tan A=________ 9. tan B=________

10. sin X=________ 13. sin Y=________

11. cos X=________ 14. cos Y=________

12. tan X=________ 15. tan Y=________

16. sin A=________ 19. sin B=________

17. cos A=________ 20. cos B=________

18. tan A=________ 21. tan B=________

22. sin A=________ 25. sin B=________

23. cos A=________ 26. cos B=________

24. tan A=________ 27. tan B=________

Solve for x using right triangle trig.

28. 29. 30.


Solve for x using law of sines.
31. 32. 34.

Solve for x using law of cosines.

35. 36. 37.

Solve for the area using the SAS area formula.

38.
39. Tommy needs to reach his second-floor window from outside. The window is 20 feet above the ground. The
ladder needs to be at a 70 angle with the ground for safety. How long does his ladder need to be?

40. Nancy wants to determine the height of a tree using its shadow. She is standing at the far end of the shadow, 15
feet away from the tree. When she looks up at the tree her angle of elevation is 48 .

41. A pilot is beginning his decent to the airport that is a straight shot of about 6.5 miles. He knows he must have a
3 angle of depression. How high is he above the ground?

42. A 25-foot pole is supported by a 40-foot wire that is anchored to the ground a certain distance away from the
pole. What angle does the wire make with the ground?

43. A lighthouse keeper spots a ship in need at a 10 angle of depression. If the lighthouse is 19 m above sea level,
how far is the ship from the base of the lighthouse?
44. Two scuba divers are 20 m apart below the ocean. They both spot a shark that is below them. The angle of
depression from diver 1 to the shark is 47 and the angle of depression from diver 2 to the shark is 40 . How far
away is each diver from the shark?

45. Mr. Bickes and Mr. Roth are about to test out their new mopeds. They start at the same point and travel in two
straight courses. The courses diverge by 60. If Mr. Bickes is traveling at 40mph and Mr. Roth is traveling at 35mph,
how far apart will they be after 3 hours?

46. Find the largest angle of a triangle with side lengths of 15, 18, and 30 inches.

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