Trigonometry: Heights & Angles in Real-Life Scenarios

A tree casts a shadow that is 15 meters long. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, what is the height of the tree?

• 8.66 meters

• 12 meters

• 5 meters

• 10 meters

Tags

CCSS.HSG.SRT.C.8

A ladder leans against a wall, forming a 75-degree angle with the ground. If the base of the ladder is 4 meters away from the wall, how high does the ladder reach on the wall?

• 10.5 meters

• 18.3 meters

• 12.0 meters

• 14.24 meters

Tags

CCSS.HSG.SRT.C.8

A ramp is built to allow wheelchair access to a building. If the ramp rises 1.5 meters over a horizontal distance of 6 meters, what is the angle of elevation of the ramp?

• 25.0 degrees

• 20.3 degrees

• 10.5 degrees

• 14.74 degrees

Tags

CCSS.HSG.SRT.C.8

A surveyor is standing 100 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, how tall is the building?

• 50 meters

• 75 meters

• 100 meters

• 150 meters

Tags

CCSS.HSG.SRT.C.8

A flagpole casts a shadow that is 20 feet long. If the angle of elevation from the tip of the shadow to the top of the flagpole is 60 degrees, what is the height of the flagpole?

• 34.64 feet

• 40 feet

• 25 feet

• 15 feet

Tags

CCSS.HSG.SRT.C.8

A person is standing 50 meters away from a hill. If the angle of elevation to the top of the hill is 35 degrees, how high is the hill?

• 45 meters

• 25.5 meters

• 60 meters

• 35.01 meters

Tags

CCSS.HSG.SRT.C.8

A construction worker needs to determine the angle of elevation to the top of a crane that is 10 meters tall and 8 meters away from the base of the crane. What is the angle of elevation?

• 51.34 degrees

• 45 degrees

• 60 degrees

• 30 degrees

Tags

CCSS.HSG.SRT.C.8

A kite is flying at a height of 30 meters. If the string of the kite makes an angle of 40 degrees with the horizontal, how long is the string?

• 25.00 meters

• 46.15 meters

• 35.50 meters

• 50.00 meters

Tags

CCSS.HSG.SRT.C.8

A building is 50 meters tall. If a person stands 30 meters away from the base of the building, what is the angle of elevation to the top of the building?

• 75 degrees

• 30 degrees

• 59.04 degrees

• 45 degrees

Tags

CCSS.HSG.SRT.C.8

A ski slope has a vertical drop of 200 meters and a horizontal distance of 800 meters. What is the angle of descent of the slope?

• 20.3 degrees

• 10.5 degrees

• 25.0 degrees

• 14.04 degrees

Tags

CCSS.HSG.SRT.C.8