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Question : A surveyor starts at point A on a triangular piece of land : 2151655

Provide an appropriate response.

61) A surveyor starts at point A on a triangular piece of land and determines angle A and the two sides AB and AC as shown. Find angle B to the nearest 0.1°.

A) 85.3°

B) 69.8°

C) 25.2°

D) 154.8°

62) Find the area of the triangle as shown. Round the answer to four significant digits.

A) 137.2 m^{2}

B) 36.32 m^{2}

C) 320.0 m^{2}

D) 145.3 m^{2}

63) A surveyor starts at point A on a triangular piece of land and determines angle A and the two sides AB and AC as shown. Find angle C to the nearest 0.1°.

A) 69.8°

B) 25.2°

C) 85.3°

D) 1554.8°

64) A vertical 75-ft pole is placed on a hill that is inclined 12° to the horizontal. How long a guy wire is needed if the guy wire is placed 6 ft from the top of the pole and attached to the ground at a point 28 ft uphill from the base of the pole?

A) 49.14 ft

B) 27.57 ft

C) 71.49 ft

D) 75.97 ft

65) Find angle A. Round to the nearest 0.1°.

A) 61.2°

B) 124.6°

C) 55.4°

D) 34.6°

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

66) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

a = 2, b = 3, and angle C = 60°; find side c.

67) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

a = 3, b = 4, and angle C = 40°; find side c.

68) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side b = 1, side c = 3, and angle A = 80°; find side a.

69) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side a = 3, side c = 2, and angle B = 110°; find b.

70) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side a = 2, side b = 2, and angle C = 50°; find side c.

71) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side a = 2, side c = 1, and angle B = 110°; find side b.

72) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side a = 6, side b = 4, and angle C = 60°; find side c.

73) In oblique triangle ABC, find the indicated part. Round to the nearest tenth.

Side b = 4, side c = 1, and angle A = 120°; find side a.

74) In oblique triangle ABC, find the area, given the indicated parts. Round to tenths. Side a = 3, side b = 4, and angle C = 40°.

75) In oblique triangle ABC, find the area, given the indicated parts. Round to tenths. Side b = 1, side c = 3, and angle A = 80°.

76) In the oblique triangle below, find the distance from Kansas City to St. Louis. Round to the nearest whole mile.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

77) A surveyor measures two sides of a triangular lot and the angle formed by these two sides. What is the area of the lot if the two measured sides are 87 ft and 120 ft and the angle formed by these two sides is 112°?

A) 1,955 ft^{2}

B) 4,840 ft^{2}

C) 9,680 ft^{2}

D) 3,911 ft^{2}

78) Find the area represented in the irregular shaped figure.

A) 238.3 m^{2}

B) 145.5 m^{2}

C) 265.4 m^{2}

D) 8 m^{2}

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

79) In the oblique triangle below, find the distance from St. Louis to Springfield, MO. Round to the nearest whole mile.

82) When is the law of sines or the law of cosines required for finding the missing parts of a triangle?

83) Describe a process for checking the reasonableness of the solutions of an oblique triangle.