Practice with Law of Sines Terms of Use    Contact Person: Donna Roberts
Directions: Carry the full calculator value until rounding the final answer.

1.
In ΔABC, m∠B = 82º, mC = 36º and a = 15 meters. Find the length b to the nearest tenth of a meter.

Choose:
 19.4 17.9 16.8 15.8

2.
In ΔRST, sin T = 2/5, sin R = 3/5, and t = 30. Find the length r.

Choose:
 38 45 58 65

3.
In isosceles ΔABC, the vertex angle is 38º and the base measures 24 inches. Find the perimeter of the triangle to the nearest inch.
Choose:
 37 42 98 108

4.
In ΔPQR, m∠P = 65º, p = 18 and q = 22.
Solve the triangle (find all missing sides and angles).

Choose:
 m∠Q = 22º, m∠R = 75º, r = 24 m∠Q = 23º, m∠R = 92º, r = 28 m∠Q = 32º, m∠R = 83º, r = 25 no such triangle

5.
In ΔABC, m∠A = 155º, a = 12.5 and b = 8.4. Does this data support 1 unique triangle, 2 triangles that are not congruent, or no triangles?

Choose:
 1 Δ 2 Δs no Δs

6.
A moose is crossing a highway from marker A to marker B. A triangle connects markers A, B and C, and markers B and C are 38' apart. The angles C and B measure 70º and 60º respectively. What is the distance from point A to point B traversed by the moose (to the nearest foot)?

Choose:
 36 feet 43 feet 47 feet 49 feet

7.
In ΔXYZ, XZ = 8, YZ = 9 and mX = 30º.
This triangle:

Choose:
 must be an acute triangle. must be a right triangle. must be an obtuse triangle may be either an acute triangle or an obtuse triangle.

8.
Given triangle ABC as shown at the right. Solve the triangle. (Find the remaining sides and angle.)
[If needed, round to the nearest tenth or nearest degree.]
Choose:
 m∠C = 95º; b = 9.0; c = 16.0 m∠C = 95º; b = 9.2; c = 16.0 m∠C = 95º; b = 9.2; c = 15.6 m∠C = 95º; b = 9.0; c = 15.6

9.
In ΔABC, AC = 12 and mA = 44º. What is the range of lengths for BC such that two distinct triangles may be created? Round to nearest tenths.

Choose:
 6.4 < BC < 12 8.3 < BC < 12 8.6 < BC < 12 11.6 < BC < 12

10.
Elmer creates stained glass artwork and he needs a frame for a triangular creation. He tells the frame maker that the stained glass has one angle measuring 50º with an opposite side of 10 inches, and another side of 12 inches. The frame maker correctly computes the perimeter of the stained glass artwork to be _____, to the nearest inch.

Choose:
 26" 34" 26" or 34" 34" or 36"

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