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.

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).

Front

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

Back

Use the cosine ratio.

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.

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.

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.

Front

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

Back

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

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).

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.

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.