Right Triangle Applications

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine

• cosine

• tangent

• inverse sine

A kite is flying 78 ft above the ground, and the string is pulled taut. The angle of elevation of the kite is 65°. Find the length of the string. Round your answer to the nearest tenth.

• 70.7 ft.

• 36.4 ft.

• 184.6 ft.

• 86.1 ft.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

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 

What is the correct equation?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

A ladder is leaning against a wall. If the ladder is 10 meters long and the angle between the ladder and the ground is 60 degrees, how far is the base of the ladder from the wall?

• 7.5 meters

• 5 meters

• 12 meters

• 8.66 meters

• Sine

• Cosine

• Tangent

• Cotangent

• Cocosine

Solve for the missing distance.

• 18.9

• 19.5

• 47

• 27.5

What is the length of the cable?

• 92.4 ft

• 69.3 ft

• 89.3 ft

• 46.2 ft

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees