Trigonometry Challenge: Calculating Angles of Elevation

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

• 8.66 meters

• 5 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 45 degrees. How far is the point from the base of the building?

• 70 meters

• 30 meters

• 100 meters

• 50 meters

A kite is flying at an angle of elevation of 60 degrees. If the string of the kite is 100 meters long, how high is the kite above the ground?

• 50 meters

• 86.6 meters

• 75 meters

• 100 meters

A ramp is built to connect a loading dock to a truck. If the ramp makes an angle of elevation of 20 degrees and the ramp is 10 meters long, how high does the ramp reach?

• 2.5 meters

• 3.42 meters

• 5.0 meters

• 4.8 meters

From a lookout point, the angle of elevation to the top of a mountain is 35 degrees. If the lookout is 200 meters away from the base of the mountain, how tall is the mountain?

• 140.04 meters

• 200 meters

• 180 meters

• 100 meters

A person stands 30 meters away from a statue and measures the angle of elevation to the top of the statue as 40 degrees. How tall is the statue?

• 15.5 meters

• 35 meters

• 25.22 meters

• 20 meters

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

• 19.24 meters

• 15.00 meters

• 22.50 meters

• 18.00 meters

A helicopter is hovering 200 meters above the ground. If a person on the ground sees the helicopter at an angle of elevation of 60 degrees, how far is the person from the point directly below the helicopter?

• 115.47 meters

• 100 meters

• 150 meters

• 200 meters

A flagpole is 12 meters tall. If the angle of elevation from a point 9 meters away from the base of the flagpole is measured, what is the angle of elevation?

• 45 degrees

• 53.13 degrees

• 30 degrees

• 75 degrees

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

• 72.10 meters

• 59.59 meters

• 38.75 meters

• 45.32 meters