Solving Real-World Problems with 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?

• 5 meters

• 10 meters

• 8.66 meters

• 12 meters

A building is 50 meters tall. From a point on the ground 40 meters away from the base of the building, what is the angle of elevation to the top of the building?

• 30.00 degrees

• 60.00 degrees

• 51.34 degrees

• 45.00 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, verify the height of the kite using trigonometric ratios.

• The height of the kite is 22.5 meters, which does not match the given height of 20 meters.

• The height of the kite is 25 meters, which exceeds the given height.

• The height of the kite is 30 meters, which is significantly higher than the given height.

• The height of the kite is 15 meters, which is less than the given height.

A person is standing 25 meters away from a hill. If the angle of elevation to the top of the hill is 45 degrees, how tall is the hill?

• 20 meters

• 25 meters

• 15 meters

• 30 meters

A lighthouse is 60 meters tall. If a boat is 100 meters away from the base of the lighthouse, what is the angle of elevation from the boat to the top of the lighthouse?

• 15.0 degrees

• 45.0 degrees

• 60.0 degrees

• 31.0 degrees

From the top of a 40-meter tall building, a person looks down at an angle of elevation of 60 degrees to a point on the ground. How far is the point from the base of the building?

• 35.50 meters

• 15.75 meters

• 30.00 meters

• 23.09 meters

A camera is mounted on a pole that is 15 meters tall. If the angle of elevation from the ground to the camera is 53.13 degrees, how far is the person from the base of the pole?

• 10 meters

• 11.25 meters

• 12.5 meters

• 15 meters

A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters away from the base of the flagpole is 36.87 degrees, find the height of the flagpole using trigonometric functions.

• 8 meters

• 12 meters

• 15 meters

• 10 meters

A drone is flying at a height of 30 meters. If the angle of elevation from a point on the ground 40 meters away from the drone is 36.87 degrees, confirm the height of the drone using the tangent function.

• 30 meters

• 35 meters

• 25 meters

• 40 meters

A person is standing 50 meters away from a mountain. If the angle of elevation to the peak of the mountain is 30 degrees, how tall is the mountain?

• 45 meters

• 28.87 meters

• 60 meters

• 15 meters