Law of Sine and Cosine Test

Given ∠C = 36°, AB = 31°, and BC = 24°, how many triangles can be made?

• 0

• 1

• 2

• 3

Three boats are out at sea: Boat A, Boat B, and Boat C. The crew of Boat A can see both Boat B and Boat C. The angle between the line of sight to Boat B and the line of sight to Boat C is 49°. If the distance between Boat A and Boat B is 1.8 miles and the distance between boat A and Boat C is 3.2 miles, what is the distance between Boat B and Boat C?

• 2.4 miles

• 5.3 miles

• 1.3 miles

• 3.7 miles

Calculate the length of AC.

• 30

• 24

• 27

• 35

Calculate the height of the triangle, to the nearest tenth of a centimetre. ∆RST, ∠R = 103°, r = 15 cm, and s = 8 cm.

• 14.6 cm

• 7.8 cm

• 4.2 cm

• 5.7 cm

Which set of measurements can produce two possible triangles?

• ∠A = 28°, a = 10.5 m, b = 15.0 m

• ∠A = 28°, a = 7.0 m, b = 15.0 m

• ∠A = 28°, a = 16.0 m, b = 15.0 m

• ∠A = 28°, a = 5.5 m, b = 15.0 m

Find the exact area
of a triangle with two
sides that measure 6 yd
and 2 yd with an included
angle of 10°.

• 1.04 yd²

• 12.0 yd²

• 5.98 yd²

• 3.26 yd²

Find the exact area of the triangle

• 13.9 in²

• 13.8 in²

• 14.0 in²

• 27.9 in²

The sine again cosine rules are sometimes called laws. Which law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

The sine again cosine rules are sometimes called laws. Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Find the missing side x

• 30.4cm

• 925cm

• 42.3cm

• 21.9cm