Angle of Elevation and Depression

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

What is the angle of depression?

Back

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

Front

How do you calculate the length of a slope using the angle of elevation?

Back

Use the formula: Length = Height / sin(Angle of Elevation).

Front

If a ski lift has an angle of elevation of 25 degrees and an altitude of 1500 feet, what is the length of the run?

Back

The length of the run is approximately 3549.30 feet.

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 appears to increase relative to the observer's position.

Front

What trigonometric function is used to find the angle of elevation when given opposite and adjacent sides?

Back

The tangent function (tan) is used: tan(Angle) = Opposite / Adjacent.

Front

How do you find the angle of elevation if you know the height and distance from the object?

Back

Use the formula: Angle = arctan(Height / Distance).

Front

What is the formula for calculating the angle of depression?

Back

The angle of depression can be calculated using the same principles as the angle of elevation, typically using the tangent function.

Front

In a right triangle, what does the cosine function represent?

Back

Cosine represents the ratio of the length of the adjacent side to the hypotenuse: cos(Angle) = Adjacent / Hypotenuse.

Front

If a ladder reaches a height of 25 feet and is placed 10 feet away from the wall, what is the angle of elevation of the ladder?

Back

The angle of elevation is approximately 68.2 degrees.