SOH CAH TOA

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What is the Sine Ratio?

Back

The Sine Ratio is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the Cosine Ratio?

Back

The Cosine Ratio is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the Tangent Ratio?

Back

The Tangent Ratio is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you calculate the height of a triangle using the Sine Ratio?

Back

Height = Hypotenuse * sin(Angle).

Front

How do you calculate the height of a triangle using the Cosine Ratio?

Back

Height = Adjacent * tan(Angle).

Front

If the angle of elevation is 30 degrees and the distance from the base is 50 feet, how do you find the height using the Tangent Ratio?

Back

Height = 50 * tan(30°).

Front

What is the value of sin(45°)?

Back

sin(45°) = √2/2 or approximately 0.707.

Front

What is the value of cos(60°)?

Back

cos(60°) = 0.5.

Front

What is the value of tan(30°)?

Back

tan(30°) = √3/3 or approximately 0.577.