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.

Tags

CCSS.HSG.SRT.C.6

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).

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.8

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).

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

Cosine = Adjacent side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

Sine = Opposite side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

Tangent = Opposite side / Adjacent side.

Tags

CCSS.HSG.SRT.C.6

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).

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.8