Trigonometry

A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35° with the ground and is 75 feet long. How far is the bottom of the balloon from the ground? Round your answer to the nearest foot.

• 30 ft

• 35 ft

• 40 ft

• 43 ft

A wire is attached to the top of a 45-foot telephone pole and anchored to the ground. The angle of elevation is 64 degrees. How long is the wire to the nearest foot?

• 40 ft

• 50 ft

• 64 ft

• 78 ft

A sonar operator on a cruiser detects a submarine at a distance of 500 m and an angle of depression of 37°. How deep is the submarine?

• 350 ft

• 300 ft

• 423 ft

• 443 ft

A person in a hot air balloon is looking down with an angle of depression of 36 degrees at their car 75 feet away. How high is the balloon?

• 40 ft

• 42 ft

• 44 ft

• 49 ft

What is the length of the hypotenuse?

• 16
• 30
• 34

Solve for x. Round to the nearest tenth.

• 7.5
• 34.1
• 14.1

Find x.

• 27

• 63

• 24.4

• 65.6

Solve for x.

• 10
• 11.3
• 12.0
• 15.0