SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

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

Front

How do you calculate the height of an object using SOHCAHTOA?

Back

To calculate the height, use the sine function: Height = Hypotenuse × sin(Angle).

Front

What is the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 0.5.

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Front

If the angle of elevation is 26 degrees and the distance from the base is 90 feet, how do you find the height of the object?

Back

Use the formula: Height = Distance × tan(Angle). In this case, Height = 90 × tan(26°).

Front

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

Back

In a right triangle, the lengths of the sides are proportional to the sine, cosine, and tangent of the angles.

Front

How do you find the length of the opposite side using SOHCAHTOA?

Back

Use the sine function: Opposite = Hypotenuse × sin(Angle).

Front

What is the formula for finding the adjacent side using cosine?

Back

Adjacent = Hypotenuse × cos(Angle).

Front

If a hawk is 15 feet away from the base of a tree and swoops down at a 30-degree angle, how do you find the distance to the branch?

Back

Use the cosine function: Distance = Adjacent / cos(30°).