Calculating Angles of Elevation with Trigonometry

A tree is 30 feet tall. If you are standing 40 feet away from the base of the tree, what is the angle of elevation from your eyes to the top of the tree?

• 25 degrees

• 36.87 degrees

• 60 degrees

• 45 degrees

A building casts a shadow of 50 feet when the angle of elevation of the sun is 30 degrees. How tall is the building?

• 15 feet

• 28.87 feet

• 60 feet

• 40 feet

You are flying a drone at a height of 100 meters. If the drone is 200 meters away from you horizontally, what is the angle of elevation to the drone?

• 26.57 degrees

• 45 degrees

• 60 degrees

• 10 degrees

A lighthouse is 60 meters tall. If a boat is 80 meters away from the base of the lighthouse, what is the angle of elevation from the boat to the top of the lighthouse?

• 36.87 degrees

• 45 degrees

• 30 degrees

• 60 degrees

A person is standing 25 meters away from a statue that is 10 meters tall. Calculate the angle of elevation from the person's eyes to the top of the statue.

• 21.8 degrees

• 45.0 degrees

• 15.5 degrees

• 30.2 degrees

A ramp is built to connect a loading dock that is 4 feet high to the ground. If the ramp is 12 feet long, what is the angle of elevation of the ramp?

• 19.1 degrees

• 22.3 degrees

• 25.0 degrees

• 15.5 degrees

You are observing a mountain that is 1500 meters tall from a distance of 3000 meters. What is the angle of elevation from your position to the peak of the mountain?

• 45.00 degrees

• 30.00 degrees

• 15.00 degrees

• 26.57 degrees

A kite is flying at a height of 50 meters. If you are standing 30 meters away from the point directly below the kite, what is the angle of elevation to the kite?

• 59.04 degrees

• 30.00 degrees

• 72.34 degrees

• 45.67 degrees

A person is looking up at a 20-meter tall building from a distance of 15 meters. What is the angle of elevation from the person's position to the top of the building?

• 53.13 degrees

• 45 degrees

• 30 degrees

• 60 degrees

A camera is mounted on a pole that is 5 meters tall. If the camera captures an image of a bird that is 10 meters away horizontally, what is the angle of elevation from the camera to the bird?

• 26.57 degrees

• 30 degrees

• 45 degrees

• 15 degrees