Trig Applications

Solve for the misssing distance

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

Tags

CCSS.HSG.SRT.C.8

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

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Miranda 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

Tags

CCSS.HSG.SRT.C.8

Emma'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

Tags

CCSS.HSG.SRT.C.8

Corbin 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 he hold his camera to photograph the deer? Round your answer to the nearest degree.

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees

Tags

CCSS.HSG.SRT.C.8

Mattie is waiting for the bus. She is cold because she is standing in its shadow. The building is 62 meters tall and casts a shadow 21 meters long. What is the angle of elevation of the sun?

• 19.80

• 18.71

• 70.20

• 71.29

Tags

CCSS.HSG.SRT.C.8

Matthew 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

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

You lean a 20-foot ladder against a wall of your house. The base of the ladder is 4 feet from the wall. What angle does the ladder make with the ground?

• 11.31 degrees
• 78.46 degrees
• 1.36 degrees
• 11.54 degrees

Tags

CCSS.HSG.SRT.C.8

Timyziah is flying a plane. After takeoff, it flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane. Round to the nearest degree.

• 78 degrees

• I love Math

• 12 degrees

• 11 degrees

Tags

CCSS.HSG.SRT.C.8