Finding Angles of Right Triangles Using Trig

A cable is attached to the top of a 10m pole. The other end is attached to the ground 8 meters from the base of the pole. What angle does the cable form with the ground?

• 51.34 degrees

• 43.84 degrees

• 59.05 degrees

• 0.02 degrees

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

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

NOTE: you are NOT finding x. you are finding the other angle

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Solve for the missing angle

• 50.2

• 93.1

• 12.6

• 42.2

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees

• 20 degrees

• 45 degrees

• 70 degrees

• 71 degrees

A ramp into a warehouse is 14 feet long. The bottom of the ramp is 10 feet from the base of the warehouse. What is the angle of between the ramp and the ground?

• 44.4 degrees

• 45.6 degrees

• 35.5 degrees

• 54.5 degrees

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. Round to the nearest degree.

• 34 degrees

• 56 degrees

• 72 degrees

• 15 degrees

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. 

• 34 degrees

• 56 degrees

• 72 degrees

• 15 degrees

Set up the problem...

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

• 66 degrees

• 80 degrees

• 30 degrees

• 19 degrees