Angles of Elevation and Depression

Front

What is the angle of elevation?

Back

The angle formed by a horizontal line and a line of sight to a point above.

Front

What is the angle of depression?

Back

The angle formed by a horizontal line and a line of sight to a point below.

Front

If a person is looking up at a tall building, what type of angle are they forming?

Back

Angle of Elevation.

Front

If a person is looking down from a cliff, what type of angle are they forming?

Back

Angle of Depression.

Front

What is the relationship between angles of elevation and depression?

Back

They are equal when measured from the same horizontal line.

Front

How do you calculate the angle of elevation using trigonometry?

Back

Use the tangent function: tan(angle) = opposite/adjacent.

Front

What is the formula for finding the height of an object using the angle of elevation?

Back

Height = distance * tan(angle).

Front

In a right triangle, if the opposite side is 10 units and the adjacent side is 5 units, what is the angle of elevation?

Back

Angle = arctan(10/5) = 63.4 degrees.

Front

What is the horizontal line in the context of angles of elevation and depression?

Back

The line parallel to the ground from the observer's eye level.

Front

If the angle of elevation is 45 degrees, what is the relationship between the height and distance?

Back

Height = Distance.