M4 applications with trig

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

• F

• G

• H

• J

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.

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

The slide at the playground has a 6 feet ladder on it to get to the top. The base of the slide measured on the ground is 8 feet away from the ladder. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

The bottom of a 13-foot ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet