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 an angle of elevation?

Back

To find the height, use the formula: Height = Distance * tan(Angle of Elevation).

Front

What is the sine of a 48 degree angle?

Back

The sine of a 48 degree angle is approximately 0.7431.

Front

If you are 10 feet away from a tree and looking up at a 48 degree angle, how high is the cat in the tree?

Back

Height = 10 * tan(48°) ≈ 11.1 feet.

Front

What is the cosine of an angle in a right triangle?

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: Hypotenuse = √(Adjacent² + Opposite²).

Front

What is the tangent of an angle?

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the angle of elevation to the top of a mountain is 25 degrees and the height is 1500 feet, how do you find the length of the run?

Back

Length of run = Height / sin(Angle of Elevation).

Front

What is the formula to find the missing angle in a right triangle?

Back

Use the inverse trigonometric functions: Angle = sin⁻¹(Opposite/Hypotenuse) or cos⁻¹(Adjacent/Hypotenuse) or tan⁻¹(Opposite/Adjacent).

Front

How do you solve for a missing side in a right triangle?

Back

Use the appropriate trigonometric ratio based on the known sides and the angle.