Right Triangles & Trigonometry Assessment 9

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): c² = a² + b².

Front

What is the sine function in trigonometry?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function in trigonometry?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function in trigonometry?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

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

Back

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

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal.

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by the horizontal line and the line of sight to an object below the horizontal.

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures, such as 45-45-90 or 30-60-90, which have known side length ratios.

Front

What are the side length ratios for a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.