Mastering Angle of Elevation

What is the angle of elevation from a point 30 meters away from a 40-meter tall building?

• 45 degrees

• 60 degrees

• 53.13 degrees

• 30 degrees

A ladder leans against a wall making a 60-degree angle with the ground. If the base of the ladder is 5 meters from the wall, how high does the ladder reach?

• 10 meters

• 8.66 meters

• 5 meters

• 7.5 meters

If a person stands 50 meters away from a tree and sees the top of the tree at an angle of elevation of 30 degrees, how tall is the tree?

• 10 meters

• 28.87 meters

• 45 meters

• 15.5 meters

A drone is flying at an altitude of 100 meters. If the angle of elevation from a point on the ground to the drone is 45 degrees, how far is the point from the base of the drone?

• 200 meters

• 150 meters

• 50 meters

• 100 meters

Calculate the angle of elevation if a 15-meter tall flagpole casts a shadow of 20 meters on the ground.

• 36.87 degrees

• 60 degrees

• 30 degrees

• 45 degrees

A building is 80 meters tall. If a person is standing 100 meters away from the base of the building, what is the angle of elevation to the top of the building?

• 38.66 degrees

• 45 degrees

• 60 degrees

• 30 degrees

Interpret the elevation diagram showing a hill with a height of 50 meters and a base distance of 200 meters. What is the angle of elevation?

• 30 degrees

• 14.04 degrees

• 60 degrees

• 45 degrees

A kite is flying at a height of 30 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite?

• 10√3 meters

• 5√3 meters

• 20√3 meters

• 15 meters

If a person looks up at a mountain peak at an angle of elevation of 35 degrees from a distance of 200 meters, how tall is the mountain if the ground is level?

• 140.04 meters

• 180 meters

• 100 meters

• 200 meters

A tower is 120 meters tall. If the angle of elevation from a point 80 meters away from the base of the tower is 53 degrees, calculate the height of the tower.

• 120 meters

• 80 meters

• 150 meters

• 100 meters