Angles of Elevation and Depression

28.6°

A 12-foot tree casts a 22-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.

6.2ft

A 20-ft ladder is placed against a wall at an angle of 72 degrees with the ground. How far from the base of the wall is the bottom of the ladder?

28.98 meters

A 30 meter line is used to tether a helium filled balloon. Because of a breeze, the line makes an angle of approximately 75 degrees with the ground. What is the height of the balloon?

67ft.

A person's eye level 6 feet from the ground sights the top of the building at 49 degrees while standing 53 feet away, how tall is the building?

11 degrees

A ramp 20 feet in length rises to a loading platform 3.75 feet off the ground. Approximate the angle of elevation of the ramp to the nearest degree.

25.2

An ant looks up to the top of a tree at an angle of elevation of 40. If the ant is 30 feet from the base of the tree, what is the height of the tree, to the nearest tenth?

49.2ft.

At a point 153 feet from the base of a building the angle of elevation to the top of the building is 56 degrees. From the same point the angle of elevation to the top of the flagpole on top of the building is 61 degrees, how tall is the flagpole?

33.7°

Frank stands 450 feet from the base of the Statue of Liberty and has an eye height of 6 feet. If the Statue of Liberty is 306 feet tall, what is the angle of depression from the top of the statue's torch to Frank's eyes? Round the answer to the nearest tenth.

.47.7 m

From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird's eyes. Round the answer to the nearest tenth

33.9ft

If a person sights the top of a tree at an angle of elevation of 37 degrees and sights the base of the tree at an angle of depression of 17 degrees while standing 32 feet from the tree, how tall is the tree?

80 degrees

If a tower 37 meters high casts a shadow 6.2 meters long, what is the angle of elevation of the sun to the nearest degree?

60.4 feet

Kendra is flying a kite 35 feet in the air. The angle of depression from the kite to where Kendra holds the string is 32 degrees. If Kendra holds the string 3 feet off the ground, what is the distance from her hands to the kite? Round your answer to the nearest tenth.