7-6: Trig Applications I

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

How do you calculate the vertical drop of a slope given the angle of elevation and the length of the slope?

Back

Use the formula: Vertical Drop = Length of Slope × sin(Angle of Elevation).

Front

What trigonometric function is used to find the height of an object when given the distance from the object and the angle of elevation?

Back

The tangent function (tan) is used: Height = Distance × tan(Angle of Elevation).

Front

If a wire is attached to a pole at a certain height and makes an angle with the ground, how can you find the length of the wire?

Back

Use the formula: Length of Wire = Height / sin(Angle with Ground).

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

How do you find the height of a flagpole using the length of its shadow and the angle of elevation of the sun?

Back

Use the formula: Height = Length of Shadow × tan(Angle of Elevation).

Front

What is the formula to calculate the height of a building when the distance from the building and the angle of elevation are known?

Back

Height = Distance × tan(Angle of Elevation).

Front

What is the sine function in relation to a right triangle?

Back

In a right triangle, sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

In a right triangle, cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

In a right triangle, tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.