Angle 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

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

Back

Height = Distance * tan(Angle of Elevation).

Front

If you are 1500 meters away from a wall and the angle of elevation to the top is 3°, how do you find the height of the wall?

Back

Use the formula: Height = 1500 * tan(3°) = 78.6 meters.

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 trigonometric function is used to find the height of an object given the angle of elevation?

Back

The tangent function (tan) is used to find the height.

Front

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

Back

tan(θ) = Opposite side / Adjacent side.

Front

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

Back

Distance = Height / tan(Angle of Elevation).

Front

What is the significance of the Inverse Trigonometric Functions?

Back

They are used to find angles when the lengths of sides are known.

Front

If a ladder makes an angle of 74° with the ground and is 6.5 feet away from the wall, how do you find the height it reaches?

Back

Height = 6.5 * tan(74°).