Height and Distance Trig

Solve for the misssing distance

• 18.9 meters
• 19.5 meters
• 47.2 meters
• 27.5 meters

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Heather went on a hot air balloon ride for her birthday. It was 520m from the ground. A building was 450m tall. The angle of elevation from the balloon fto the building is 10° , find the horizontal distance from the balloon to the building in meters.

• 512 m

• 414 m

• 403 m

• 397 m

Kiara's 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.Find the height of the lighthouse.

• 25 feet

• 45 feet

• 110 feet

• 135 feet

Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

Nathan is flying a kite, which gets caught in the top of a tree. Find the height of the tree.

• 63 ft

• 65 ft

• 74 ft

• 87 ft

Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73^o, how far off the ground is Jordan?

• 118.2 ft

• 120.9 ft

• 124.3 ft

• 126.5 ft

Jovanni's height is 2 m. The distance between Jovanni and the flag pole is 10 m. The angle of elevation from Jovanni to the top of the flagpole is 56°. How tall is the flagpole?

• 14.83

• 16.83

• 18.83

• 20.83

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m