Angle of Elevation Practice

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed between the horizontal line and the line of sight to an object above the horizontal level.

Front

How do you find the height of an object using the angle of elevation?

Back

You can use the tangent function: height = distance from the object * tan(angle of elevation).

Front

If the distance from a tree is 50 feet and the angle of elevation is 48°, how do you calculate the height of the tree?

Back

Height = 50 * tan(48°) = 55.53 feet.

Front

What trigonometric function is used to relate the angle of elevation to the height and distance?

Back

The tangent function (tan) is used, where tan(angle) = opposite/adjacent.

Front

What is the formula for the tangent of an angle in a right triangle?

Back

tan(θ) = opposite side / adjacent side.

Front

In a right triangle, if one angle is 74° and the adjacent side is 6.5 feet, how do you find the height?

Back

Height = 6.5 * tan(74°).

Front

What is the relationship between the angle of elevation and the height of an object?

Back

As the angle of elevation increases, the height of the object increases for a fixed distance.

Front

What is the significance of the adjacent side in angle of elevation problems?

Back

The adjacent side is the horizontal distance from the observer to the base of the object.

Front

How do you determine the correct diagram for an angle of elevation problem?

Back

The diagram should show the observer, the object, the horizontal distance, and the angle of elevation.

Front

What is the height of a tree if the angle of elevation is 48° and the distance is 50 feet?

Back

The height of the tree is 55.53 feet.