Application: Solving Right Triangles

Application: Solving Right Triangles

IM3: March 24, 2021

Multiple Choice

A kite is flying 78 ft above the ground and the string is pulled taut. The angle of elevation of the kite is $65\degree.$ 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.

Multiple Choice

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 

Multiple Choice

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 

Multiple Choice

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Multiple Choice

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 27^o

• 28^o

• 53^o