Right Triangle Heights: Exploring 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?

• 12 meters

• 8.66 meters

• 10 meters

• 5 meters

A building is 50 meters tall. If a person standing 40 meters away from the base of the building looks up at the top, what is the angle of elevation?

• 30.00 degrees

• 45.00 degrees

• 75.00 degrees

• 51.34 degrees

A kite is flying at a height of 20 meters. If the angle of elevation from a point on the ground 30 meters away from the kite is 36.87 degrees, estimate the height of the kite.

• 22.5 meters

• 25 meters

• 18 meters

• 30 meters

From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the distance from the point to the base of the hill is 100 meters, how high is the hill?

• 100 meters

• 200 meters

• 150 meters

• 50 meters

A ladder leans against a wall, forming an angle of elevation of 60 degrees with the ground. If the foot of the ladder is 5 meters away from the wall, how tall is the ladder?

• 7.2 meters

• 6.5 meters

• 10 meters

• 8.66 meters

A person is standing 25 meters away from a statue. If the angle of elevation to the top of the statue is 53.13 degrees, estimate the height of the statue.

• 20 meters

• 40 meters

• 25 meters

• 33.33 meters

A drone is flying at an angle of elevation of 30 degrees from a point on the ground. If the drone is 100 meters away horizontally, how high is the drone flying?

• 57.74 meters

• 30 meters

• 100 meters

• 86.60 meters

A lookout tower is 80 meters tall. If a person standing 60 meters away from the base of the tower looks up, what is the angle of elevation to the top of the tower?

• 53.13 degrees

• 90 degrees

• 30 degrees

• 75 degrees

A mountain is observed from a distance of 200 meters. If the angle of elevation to the peak of the mountain is 20 degrees, estimate the height of the mountain.

• 150 meters

• 72.34 meters

• 50 meters

• 100 meters

A person is standing 10 meters away from a flagpole. If the angle of elevation to the top of the flagpole is 45 degrees, how tall is the flagpole?

• 5 meters

• 10 meters

• 15 meters

• 20 meters