Trig Ratios: SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

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

Front

How do you calculate the height of a building using trigonometry?

Back

Use the tangent function: height = distance from the building * tan(angle of elevation).

Front

If the angle of elevation is 45 degrees and the distance from the base is 30 ft, what is the height of the building?

Back

Height = 30 ft * tan(45°) = 30 ft.

Front

What is the formula for finding the length of the shadow of an object?

Back

Length of shadow = height of object / tan(angle of elevation).

Front

If Jake is 6 ft tall and the angle of elevation of the sun is 28 degrees, how long is his shadow?

Back

Shadow length = 6 ft / tan(28°) ≈ 11.3 ft.

Front

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

Back

Cosine = Adjacent side / Hypotenuse.

Front

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

Back

Sine = Opposite side / Hypotenuse.

Front

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

Back

Tangent = Opposite side / Adjacent side.

Front

How do you find the distance from the base of a ladder to the wall if the ladder makes a 60-degree angle with the ground?

Back

Use the cosine function: distance = ladder length * cos(angle).

Front

If a ladder is 15 ft long and makes a 60-degree angle with the ground, how far is the base from the wall?

Back

Distance = 15 ft * cos(60°) = 12.9 ft.