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°, what is 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 calculating the height of an object using the tangent of the angle of elevation?

Back

Height = Distance * tan(Angle of Elevation).

Front

In a right triangle, what does the 'opposite' side refer to?

Back

The 'opposite' side is the side opposite the angle of interest.

Front

In a right triangle, what does the 'adjacent' side refer to?

Back

The 'adjacent' side is the side next to the angle of interest, excluding the hypotenuse.

Front

What is the relationship between the angle of elevation and the angle of depression?

Back

The angle of elevation from a point on the ground to an object is equal to the angle of depression from the object to the point on the ground.

Front

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

Back

Identify the position of the observer, the object, and the horizontal line of sight to draw the right triangle.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.