Tangent Fun: Real-World Angle of Elevation Problems

A tree casts a shadow of 15 meters. 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?

• 10 meters

• 5 meters

• 8.66 meters

• 12 meters

A building is 50 meters tall. From a point on the ground, the angle of elevation to the top of the building is 60 degrees. How far is the point from the base of the building?

• 35.00 meters

• 45.67 meters

• 50.00 meters

• 28.87 meters

A kite is flying at an angle of elevation of 45 degrees. If the string of the kite is 20 meters long, how high is the kite above the ground?

• 14.14 meters

• 20 meters

• 25 meters

• 10 meters

A ramp is built to allow access to a building. If the ramp makes an angle of elevation of 20 degrees and is 10 meters long, how high does the ramp reach?

• 3.42 meters

• 5.00 meters

• 2.00 meters

• 4.50 meters

A person is standing 30 meters away from a statue. If the angle of elevation to the top of the statue is 35 degrees, how tall is the statue?

• 15.5 meters

• 10.0 meters

• 21.0 meters

• 30.0 meters

A ladder leans against a wall, forming an angle of elevation of 75 degrees with the ground. If the base of the ladder is 5 meters from the wall, how tall is the ladder?

• 16.2 meters

• 14.3 meters

• 12.0 meters

• 10.5 meters

A mountain climber is looking up at a peak with an angle of elevation of 50 degrees. If the climber is 100 meters away from the base of the mountain, how high is the peak?

• 200 meters

• 119.18 meters

• 150 meters

• 80 meters

A helicopter is hovering above a field at an angle of elevation of 60 degrees from a point on the ground. If the helicopter is 200 meters away horizontally, how high is it flying?

• 346.41 meters

• 250 meters

• 400 meters

• 150 meters

A lookout tower is 40 meters tall. From a distance of 30 meters, the angle of elevation to the top of the tower is measured. What is the angle of elevation?

• 30 degrees

• 60 degrees

• 45 degrees

• 53.13 degrees

A person is observing a hot air balloon at an angle of elevation of 40 degrees. If the balloon is 50 meters away horizontally, how high is the balloon above the ground?

• 30 meters

• 42.75 meters

• 60 meters

• 35 meters