Solving using TRIG Practice

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is represented as: cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

How do you estimate the height of an object using trigonometry?

Back

To estimate the height of an object, you can use the tangent ratio: height = distance from the object * tan(angle of elevation).

Tags

CCSS.HSG.SRT.C.8

Front

Identify the correct trigonometric ratio to use when given the adjacent side and hypotenuse.

Back

Use the cosine ratio.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is represented as: tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is represented as: sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

If tan(θ) = 3/4, what is the opposite side if the adjacent side is 8?

Back

The opposite side can be found using the ratio: opposite = tan(θ) * adjacent = (3/4) * 8 = 6.

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship can be expressed as: tan(θ) = sin(θ)/cos(θ).

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the height of a tree using a kite string at an angle?

Back

Use the formula: height = length of string * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The hypotenuse can be found using the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.7

Front

If you have a right triangle with one angle measuring 30 degrees, what is the sine of that angle?

Back

sin(30°) = 1/2.

Tags

CCSS.HSG.SRT.C.7