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Final Exam Review 1 - Scf

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Law of Sines<br />

27. In triangle ABC if A = 24.7º , C = 106.1º , and b = 34.0 cm, find the missing parts.<br />

28. In triangle ABC use the law of sines to show that no triangle exists for which A = 60º , a = 12<br />

inches and b = 42 inches.<br />

29. In triangle ABC use the law of sines to show that exactly one triangle exists for which<br />

A = 42º, a = 29 inches, and b = 21 inches.<br />

30. Find two triangles ABC and A ′ B′<br />

C′<br />

for which A = 51º , a = 6.5 feet, and b = 7.9 feet. State the<br />

measure of all three angles in each of the two triangles.<br />

31. A man standing near a building notices that the angle of elevation to the top of the building is 64º.<br />

He then walks 240 feet farther away from the building and finds the angle of elevation to the top<br />

to be 43º. Find h, the height of the building?<br />

h<br />

240 feet<br />

32. A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One<br />

rope is 120 feet long and makes an angle of 65 with the ground. The other rope is 115 feet long.<br />

What is the distance between the points on the ground at which the two ropes are anchored?

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