Trig Practice

Rachel spotted her car from a weather balloon. She knows her altitude is 82 meters and her angle of depression is 32 degrees. She wants to know the direct distance from her to her car. Round to the nearest meter.

• 43 m

• 131 m

• 155 m

• 97 m

Kelli wanted to measure the distance across a pond. She knows the height of a tree on the other side is 27 ft and her angle of elevation is 18 degrees from her tripod. Kelli's tripod is 3 ft tall. Find the distance across the
pond to the nearest tenth of a foot.

• 73.9 ft

• 83.1 ft

• 7.8 ft

• 25.2 ft

The angle of elevation from the the driver in the car to the top of the movie screen is 58 o . If the driver is 50 feet away from the screen, how tall is the movie screen?

• 94.35 ft

• 26.50 ft

• 31.24 ft

• 80.02 ft

The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a meter?

• 35.4 m

• 5.9 m

• 13.4 m

• 15.6 m

A person flying a kite has released 176 m of string. The string makes an angle of 27° with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

• height: 90 m; horizontal distance: 388 m

• height: 157 m; horizontal distance: 80 m

• height: 80 m; horizontal distance: 157 m

• height: 388 m; horizontal distance: 90 m

You are standing 350 feet away from a skyscraper that is 750 feet tall. What is the angle of elevation from you to the top of the building?

• 27.81 degrees

• 64.98 degrees

• 62.18 degrees

• 41.35 degrees

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Solve for x 

• 5.0
• 6.1
• 7.7
• 6.4

Solve for x 

• 50.7
• 50.1
• 60.7
• 61.0