Soh Cah Toa Word Problem

Front

What does SOH CAH TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

How do you find the angle using the tangent function?

Back

Use the formula: angle = tan^–1(opposite/adjacent).

Front

What is the inverse sine function used for?

Back

The inverse sine function (sin^–1) is used to find the angle when the opposite side and hypotenuse are known.

Front

What is the formula to calculate the angle of elevation?

Back

Angle of elevation = tan^–1(height/distance).

Front

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

Back

Angle of elevation = tan^–1(300/400) = 36.9 degrees.

Front

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

Back

Sine of an angle = length of the opposite side / length of the hypotenuse.

Front

How do you calculate the cosine of an angle?

Back

Cosine of an angle = length of the adjacent side / length of the hypotenuse.

Front

What is the purpose of the tangent function in trigonometry?

Back

Tangent of an angle = length of the opposite side / length of the adjacent side.

Front

How do you determine the angle using the cosine function?

Back

Use the formula: angle = cos^–1(adjacent/hypotenuse).

Front

What is the formula for finding the angle of depression?

Back

Angle of depression = tan^–1(height/distance).