Trigonometry quiz 5

A triangle has sides a = 5, b = 5, c = 15, determine the three angles. A. A = 34°, B = 78°, C = 78° B. A = 78°, B = 24°, C = 78° C. No Triangle D. A = 39°, B = 79°, C = 22° E. A = 78°, B = 78°, C = 24°

QUESTION 1

Find the area of the triangle having the given measurements. Round to the nearest square unit.B = 20°, a = 7 meters, c = 12 meters

	A.	None of the above
	B.	13 square meters
	C.	16 square meters
	D.	11 square meters
	E.	14 square meters

QUESTION 2

Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3

	A.	B = 88.69°, C = 30.31°
	B.	A = 90°, C = 30°
	C.	A = 41°, C = 57°,
	D.	B = 88.69°, C = 31.31°
	E.	B = 68.69°, C = 30.31°

QUESTION 3

Given two sides and an angle of a triangle. Solve the triangle.B = 85°, b = 5, a = 25

	A.	A = 41°, C = 57°, c = 30
	B.	A = 40°, C = 57°, c = 32
	C.	No triangle
	D.	A = 42°, C = 57°, c = 34
	E.	A = 40°, C = 57°, c = 30

QUESTION 4

A triangle has the following measurements: B = 30° C = 110° b = 40. Determine angle A and the length of side a.

	A.	A= 40° a = 20.4
	B.	A= 40° a = 60.5
	C.	A= -40° a = 60.5
	D.	A= 40° a = 51.42
	E.	A= -40° a = 21.4

QUESTION 5

Given a triangle has sides a = 6 ft, b = 15 ft, c = 12 ft. Determine the area of the triangle. , rounded to nearest whole number.

	A.	32 square feet
	B.	34 square feet
	C.	31 square feet
	D.	24 square feet
	E.	22 square feet

QUESTION 6

A triangle has the following measurements: A = 10°, C = 140°, a = 50. Determine angle B and the lengths of side b.

	A.	None of the above
	B.	B = 30°, b = 143.97
	C.	B = 37.2°, b = 27.9
	D.	B = 37.2°, b = 334.2
	E.	B = 36.8°, b = 267.7

QUESTION 7

If a triangle has sides a = 6, b = 15, c = 12, determine angle C.

	A.	C = 55.56°
	B.	C = 19.65°
	C.	C = 86.35°
	D.	C = 49.46°
	E.	C = 84.77°

QUESTION 8

A triangle has the following measurements: A = 25°, B = 50°, c = 20. Determine the lengths of sides a and b.

	A.	a = 21.5, b = 12.1
	B.	a = 12.1, b = 21.5
	C.	a = 8.75, b = 15.86
	D.	a = 60, b = 33.9
	E.	None of the above

QUESTION 9

A triangle has sides a = 7, b = 9, and angle C = 100°. Determine side c.

	A.	c = 16.4
	B.	c = 12.32
	C.	c = 16.0
	D.	c = 19.3
	E.	c = 10.52

QUESTION 10

A triangle has the following measurements: A = 120° B = 40° c = 7. Determine side a.

	A.	a = 17.72
	B.	a = 13.16
	C.	a = 3.38
	D.	a = 3.38
	E.	a = 6.55

QUESTION 11

Given a triangle has angles A = 35° and C = 80°, determine angle B.

	A.	B = 55°
	B.	B = 55°
	C.	B = 50°
	D.	B = 55°
	E.	B = 65°

QUESTION 12

A painter needs to cover a triangular region 65 feet by 50 feet by 60 feet.If a can of paint covers 50 square feet. What is the least number of cans that will be needed?

	A.	29
	B.	36
	C.	27
	D.	28
	E.	30

QUESTION 13

Given a triangle has sides a = 13 ft, b = 14 ft, c = 14 ft.Determine the area of the triangle, rounded to nearest whole number.

	A.	81 square feet
	B.	87 square feet
	C.	84 square feet
	D.	90 square feet
	E.	91 square feet

QUESTION 14

Given two sides and an angle of a triangle. Solve the triangle.A = 15°, a = 30, b = 30

	A.	B = 150°,C = 15°, c = 22.5
	B.	No triangle
	C.	B = 150°,C = 15°, c = 57.96
	D.	B = 15°, C = 150°, c = 57.96
	E.	B = 15°,C = 60°, c = 22.5

QUESTION 15

	A.	None of the Above.
	B.	A = 31°, B = 24°, C = 125°
	C.	A = 125°, B = 31°, C = 24°
	D.	A = 31°, B = 125°, C = 24°
	E.	A = 125°, B = 24°, C = 31°

QUESTION 16

	A.	A = 48.8°, B = 34.77°, C = 66.42°
	B.	A = 35°, B = 86°, C = 59°
	C.	A = 35.8°, B = 59.5°, C = 86.7°
	D.	A = 58.0°, B = 34.77°, C = 87.42°
	E.	A = 58.8°, B = 34.77°, C = 86.42°

QUESTION 17

A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A.

	A.	A = 23.25°
	B.	A = 20.70°
	C.	A = 21.67°
	D.	A = 20.66°
	E.	A = 25.55°

QUESTION 18

A surveyor calculates the area of a triangular shape lot by measuring the 3 sides. If side a = 150 feet , side b = 200 feet, and side c = 100, determine the area of the lot.

	A.	7,261.84 square feet.
	B.	3,055.85 square feet.
	C.	5,061.65 square feet.
	D.	3,051.85 square feet.
	E.	8,051.85 square feet.

QUESTION 19

Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches

	A.	34 square inches
	B.	10 square inches
	C.	12 square inches
	D.	32 square inches
	E.	11 square inches

QUESTION 20

A triangle has sides a = 5, b = 5, c = 15, determine the three angles.

	A.	A = 34°, B = 78°, C = 78°
	B.	A = 78°, B = 24°, C = 78°
	C.	No Triangle
	D.	A = 39°, B = 79°, C = 22°
	E.	A = 78°, B = 78°, C = 24°

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Trigonometry quiz 5

Trigonometry quiz 5

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