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 find the angle of elevation?

Back

The angle of elevation can be found using the tangent ratio: tan(angle) = Opposite/Adjacent.

Front

If a plane is 300m above the ground and travels 400m horizontally, what is the angle of elevation?

Back

The angle of elevation is approximately 36.9 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 a right triangle, if the opposite side is 9 and the adjacent side is 12, what is the tangent ratio?

Back

The tangent ratio is 9/12 or 0.75.

Front

If the angle of elevation is 26 degrees and the distance from the base is 90 feet, what is the height of the lighthouse?

Back

The height of the lighthouse is approximately 45 feet.

Front

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

Back

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