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 length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

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

Back

The 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 of an angle in a right triangle?

Back

The 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 of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If a hawk swoops down at a 30-degree angle to catch a mouse 15 feet away from the tree, what is the distance from the tree branch to the mouse?

Back

30 ft.

Front

How do you find the height of an object using angles of elevation?

Back

Use the formula: height = distance * tan(angle of elevation).

Front

What is the angle of elevation if a 4 ft tall child creates a shadow that is 7.5 ft long?

Back

28 degrees.

Front

How do you find a missing angle in a right triangle?

Back

Use the fact that the sum of angles in a triangle is 180 degrees. For right triangles, one angle is 90 degrees.

Front

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

Back

11.1 ft.