Honors Geometry Companion Book, Volume 2

8.1 Review Worksheet (continued)

32. XZ

33. KL

34. EF D

J

Y

F

12°

33 in.

83.1 m

E

25°

9.5 ft

Z

X

61°

L

K

35.  A jump ramp for waterskiing makes an angle of 15 ° with the surface of the water. The ramp rises 1.58 m above the surface. What is the length of the ramp to the nearest hundredth of a meter?

1.58 m

15°

8.1.3 Solving Right Triangles Use the given trigonometric ratio to determine which angle of the triangle is ∠ A. 36. = A tan 5 12 37. tan A = 2.4 38. = A sin

18 cm

7.5 cm

1

2

12 13

19.5 cm

5 13

12 13

5 13

41.

39.

40.

= A cos

= A cos

= A sin

Use your calculator to find each angle measure to the nearest degree. 42. sin − 1 (0.3l) 43. tan − 1 (l)

44. cos − 1 (0.8)

45. cos − 1 (0.72)

46. tan − 1 (l.55)

⎛ ⎝ ⎜

⎞ ⎠ ⎟

9 17

47.

1

− sin

76

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