Right Triangle Trig Game (Stiles)

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the height of a lighthouse using trigonometry?

Back

You can use the tangent function: height = distance from the base * tan(angle of elevation).

Front

What is the relationship between the sides of a right triangle and its angles?

Back

The side opposite the largest angle is the longest side (hypotenuse), and the side opposite the smallest angle is the shortest side.

Front

If the angle of elevation is 26 degrees and the distance to the lighthouse is 90 feet, how do you find the height?

Back

Height = 90 * tan(26 degrees).

Front

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

Back

cos(angle) = adjacent side / hypotenuse.

Front

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

Back

sin(angle) = opposite side / hypotenuse.