8.5 Angles of Elevation and Depression

Front

What is the angle of elevation?

Back

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

Front

If a tree is twice the height of a house, how do you find the angle of depression from the top of the tree to the roof of the house?

Back

Use trigonometric ratios, specifically the tangent function, to relate the height difference and the horizontal distance.

Front

What is the formula to calculate the distance from the base of a tower using the angle of depression?

Back

Distance = height / tan(angle of depression).

Front

How do you determine the angle of depression from a height?

Back

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

Front

What is the relationship between angles of elevation and depression?

Back

The angle of elevation from one point to another is equal to the angle of depression from the second point to the first.

Front

If a tourist is 45 feet above the ground and sees a deer 130 feet away horizontally, how do you find the angle to photograph the deer?

Back

Use the tangent function: angle = arctan(opposite/adjacent) = arctan(45/130).

Front

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

Back

It helps in determining distances and heights in navigation, architecture, and various fields of engineering.

Front

How do you round angles to the nearest degree?

Back

Look at the decimal part: if it's 0.5 or higher, round up; if it's less than 0.5, round down.

Front

What is the height of a hot air balloon if it is 2,500 feet above the ground?

Back

The height is 2,500 feet.