SOH CAH TOA REVIEW

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you find the height of a cliff using an angle of elevation?

Back

To find the height of a cliff using an angle of elevation, use the tangent function: height = distance from the base * tan(angle).

Front

If Tanner is 30 meters from the base of the cliff and looks up at an angle of 46 degrees, how do you calculate the height of the cliff?

Back

Height = 30 * tan(46°) ≈ 30 * 1.0355 ≈ 31 meters.

Front

What is the formula to find the angle using the tangent function?

Back

The formula to find the angle using the tangent function is: angle = tan^{-1}(opposite/adjacent).

Front

If the opposite side is 4 and the adjacent side is 15, what is the angle F?

Back

F = tan^{-1}(4/15) ≈ 14.9 degrees.

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: sin(angle) = opposite/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: cos(angle) = adjacent/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: tan(angle) = opposite/adjacent.

Front

How do you solve for x in a right triangle using SOH CAH TOA?

Back

Identify the sides relative to the angle and use the appropriate trigonometric function (sine, cosine, or tangent) to set up an equation and solve for x.

Front

If you need to find the length of the opposite side and you know the angle and the hypotenuse, which function do you use?

Back

Use the sine function: opposite = hypotenuse * sin(angle).