Angle of Elevation and Depression

Front

What is the angle of elevation?

Back

The angle formed by the line of sight when looking up from a horizontal line to an object above.

Front

What is the angle of depression?

Back

The angle formed by the line of sight when looking down from a horizontal line to an object below.

Front

Describe the angle of elevation from a mountain to a bird.

Back

It is the angle formed when looking up from the mountain to the bird.

Front

Describe the angle of depression from a mountain to a hot air balloon.

Back

It is the angle formed when looking down from the mountain to the hot air balloon.

Front

What is the relationship between angles of elevation and depression?

Back

They are complementary angles; the angle of elevation from one point is equal to the angle of depression from another point at the same horizontal level.

Front

How do you calculate the angle of elevation using a right triangle?

Back

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

Front

If a 12.5 meter tall pole casts an 18 meter shadow, how do you find the angle of elevation of the sun?

Back

Use the formula: angle = arctan(opposite/adjacent) = arctan(12.5/18).

Front

What is the formula for finding the angle of depression?

Back

angle = arctan(opposite/adjacent) where 'opposite' is the height difference and 'adjacent' is the horizontal distance.

Front

What is the significance of the angle of elevation in real-life applications?

Back

It is used in fields like architecture, aviation, and navigation to determine heights and distances.

Front

What is the significance of the angle of depression in real-life applications?

Back

It is used in surveying and construction to measure heights and distances from a higher point.