Right Triangle Problems: Angles of Elevation Challenge

A tree casts a shadow of 15 feet. 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 feet

• 5√3 feet

• 7 feet

• 12 feet

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

• 75 degrees

• 45 degrees

• 51.34 degrees

• 30 degrees

A kite is flying at a height of 30 meters. If the angle of elevation from a point on the ground 40 meters away from the kite is 36.87 degrees, how high is the kite?

• 25 meters

• 30 meters

• 35 meters

• 40 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 feet away from the wall, how long is the ladder?

• 15 feet

• 10 feet

• 12 feet

• 8 feet

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?

• 50 meters

• 150 meters

• 100 meters

• 200 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, what is the height of the statue?

• 50 meters

• 30 meters

• 40 meters

• 15 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?

• 86.60 meters

• 100 meters

• 57.74 meters

• 30 meters

A lighthouse is 75 feet tall. If a boat is 100 feet away from the base of the lighthouse, what is the angle of elevation from the boat to the top of the lighthouse?

• 30 degrees

• 60 degrees

• 36.87 degrees

• 45 degrees

A person observes a mountain peak and measures the angle of elevation to be 40 degrees. If they are standing 200 meters away from the base of the mountain, how tall is the mountain?

• 167.82 meters

• 100 meters

• 300 meters

• 250 meters

A flagpole is 20 feet tall. If the angle of elevation from a point 10 feet away from the base of the flagpole is 63.43 degrees, how tall is the flagpole?

• 20 feet

• 15 feet

• 30 feet

• 25 feet