Right Triangle Trigonometry Precalculus

From ∠C, classify side AB.

• Adjacent
• Hypotenuse
• Opposite

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

• sine
• cosine
• tangent
• secant

Identify the ratio for sinA. (Reduce the fraction)

• 36/27
• 4/5
• 36/45
• 3/5

Solve for x. Round to the nearest tenth.

• 103.5
• 4.7
• 55.0
• 23.4

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.  Calculate the angle of elevation from the boat to the top of the lighthouse if the lighthouse is approximately 75 feet tall.

• 15 degrees
• 39.8 degrees
• 50.2 degrees 
• 165 feet 

Calculate the radian measure for a 120° angle.

•  π/2
• π/3
•  3π/2
• 2π/3

Calculate the arc length if the radius is 7, and the central angle is π/4.

• 1.75
• 8.9
• .785
• 5.5

Convert 27.78° to degrees and minutes.

• 27°46′
• 27°7′
• 27°47′
• 27°8′