Right Triangle Trig Application Problems

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

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

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

• sine

• cosine

• tangent

• secant

Find 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

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft