Right triangle applications

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 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 

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 8 ft. away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth.

• $55.2\degree$

• $34.8\degree$

• $29.7\degree$

• $60.3\degree$

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.