Right Triangle Trig

Solve the right triangle. Round measures of sides to the nearest hundredth and angles to the nearest degree.

• <B = 39^o, AB = 11.58, AC = 7.29

• <B = 39^o, AB = 7.29, AC = 11.58

• <B = 129^o, AB = 11.58, AC = 7.29

• <B = 129^o, AB = 7.29, AC = 11.58

Solve the right triangle.

• <A = 33.7^o, <C = 56.3^o, AC = 5.59

• <A = 56.3^o, <C = 33.7^o, AC = 5.59

• <A = 33.7^o, <C = 56.3^o, AC = 9.01

• <A = 56.3^o, <C = 33.7^o, AC = 9.01

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

Which is the ratio of the opposite leg to the hypotenuse in a right triangle?

• sine

• cosine

• tangent

• secant

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches 

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4