SOH CAH TOA Review

Front

What does SOHCAHTOA stand for in trigonometry?

Back

SOHCAHTOA is a mnemonic to remember the definitions of the sine, cosine, and tangent functions: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you find the cosine of an angle in a right triangle?

Back

To find the cosine of an angle, divide the length of the adjacent side by the length of the hypotenuse.

Front

What is the sine function used for in trigonometry?

Back

The sine function is used to find the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

If the angle of elevation to the top of a tree is 48 degrees and you are standing 50 feet away, how do you find the height of the tree?

Back

Use the tangent function: height = distance * tan(angle of elevation). In this case, height = 50 * tan(48 degrees).

Front

What is the formula to calculate the height of an object using the angle of elevation?

Back

Height = Distance * tan(Angle of Elevation).

Front

In the context of trigonometry, what is an angle of elevation?

Back

An angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal.

Front

What is the relationship between the sides of a right triangle and the sine function?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How can you determine the height of a building if you know the distance from the building and the angle of elevation?

Back

You can use the formula: Height = Distance * tan(Angle of Elevation).

Front

What is the cosine of a 65-degree angle if the adjacent side is 30 meters?

Back

Cosine = Adjacent/Hypotenuse. If the adjacent side is 30 meters and you need to find the hypotenuse, use the cosine function: Hypotenuse = Adjacent/cos(65 degrees).

Front

What is the tangent function used for in trigonometry?

Back

The tangent function is used to find the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.