Tangent Triumphs: Solving Real-World Elevation Problems

A tree casts a shadow of 15 feet. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, how tall is the tree?

• 5√3 feet

• 7 feet

• 10 feet

• 12 feet

A ramp is built to help wheelchair access. If the ramp makes a 20-degree angle with the ground and is 10 feet long, how high does the ramp rise?

• 4.8 feet

• 2.5 feet

• 3.42 feet

• 5.0 feet

A ladder leans against a wall, forming a 75-degree angle with the ground. If the base of the ladder is 4 feet away from the wall, how tall is the ladder?

• 15.59 feet

• 10.25 feet

• 12.75 feet

• 18.40 feet

A surveyor is standing 50 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

• 100 meters

• 70 meters

• 30 meters

A kite is flying at an angle of 60 degrees from the ground. If the string of the kite is 30 meters long, how high is the kite above the ground?

• 20 meters

• 25.98 meters

• 15 meters

• 30 meters

A person is standing 30 feet away from a flagpole. If the angle of elevation to the top of the flagpole is 40 degrees, how tall is the flagpole?

• 20 feet

• 25.2 feet

• 35 feet

• 15 feet

A construction worker is looking at a crane that is 25 meters away. If the angle of elevation to the top of the crane is 50 degrees, how tall is the crane?

• 35 meters

• 29.8 meters

• 20 meters

• 15 meters

A boat is anchored 100 meters from the shore. If the angle of elevation from the boat to the top of a cliff is 35 degrees, how high is the cliff?

• 90.0 meters

• 30.0 meters

• 70.0 meters

• 50.0 meters

A photographer is taking a picture of a mountain. If the mountain is 200 meters away and the angle of elevation to the peak is 30 degrees, how tall is the mountain?

• 200 meters

• 115.47 meters

• 75 meters

• 150 meters

A cyclist is riding up a hill that makes a 15-degree angle with the ground. If the cyclist travels 200 meters up the hill, how high does the cyclist rise?

• 100.00 meters

• 51.76 meters

• 75.00 meters

• 30.00 meters