Laws of Sines Cosines and Area

Find the exact area of the triangle

• 13.9 in²
• 13.8 in²
• 14.0 in²
• 27.9 in²

Find the area of the triangle

• 24.0 cm²
• 47.9 cm²
• 19.7 cm²
• 23.967 cm²

If you know the lengths of three sides to a triangle, what formula can you use to find an angle measure?

• Law of Sine
• Law of Cosine
• Law of Tangent
• Law of Sign

If you know the lengths of two sides and the angle between them, use this formula to find the side opposite the angle you know.

• Law of Sign
• Law of Cosine
• Law of Tangent
• Law of Sine

Find AB

• 10.03
• 8.04
• 6.10
• 4.93

Find the measure of ∠A

• 18
• 28
• 25
• 24

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°
• A= 70°, B= 50.1°, C= 59.9°
• A= 50.1°, B= 70°, C= 59.9°
• A= 60°, B= 70°, C= 50°

Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in the ground. If the stakes are 30 feet apart, find the height of the pole.

• 30.6 ft

• 33.9 ft

• 36.2 ft

• 39.5 ft

A fireman spots a stranded woman in the window of a 200-foot tall office building. From the point where the fireman is standing, the angle of elevation to the stranded woman is 42° 33’ and to the top of the building is 58°6’.

How far from the ground is the stranded woman?

• 108.8 ft

• 114.3 ft

• 121.1 ft

• 124.5 ft