Right Triangle Trigonometry

Front

What is the ratio of the adjacent side to the hypotenuse in a right triangle?

Back

Cosine

Front

What does SOH-CAH-TOA stand for?

Back

Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent

Front

In a right triangle, what is the sine ratio?

Back

Opposite Leg / Hypotenuse

Front

In a right triangle, what is the cosine ratio?

Back

Adjacent Leg / Hypotenuse

Front

In a right triangle, what is the tangent ratio?

Back

Opposite Leg / Adjacent Leg

Front

What is the purpose of using SOH-CAH-TOA?

Back

To find the ratios of the sides of right triangles.

Front

If a ladder leans against a building at an angle of 68°, how can you find the height it reaches?

Back

Use the sine function: height = ladder length * sin(angle).

Front

What is the height reached by a 16-foot ladder leaning at an angle of 68°?

Back

Approximately 14.8 feet.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the length of a side in a right triangle if you know one angle and one side?

Back

Use trigonometric ratios (sine, cosine, tangent) to solve for the unknown side.