Unit 8 Right Triangles

Front

What is the angle of elevation?

Back

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

Front

How do you identify the hypotenuse of a right triangle?

Back

The hypotenuse is the side directly across from the right angle and is the longest side of the triangle.

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

If one leg of a right triangle is 12 feet and the other leg is 9 feet, what is the length of the hypotenuse?

Back

The hypotenuse is 15 feet, calculated using the Pythagorean theorem: 12² + 9² = 15².

Front

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

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent 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 an object using the angle of elevation?

Back

You can use the formula: height = distance * tan(angle of elevation).

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

If a ladder reaches a height of 12 feet and is placed 9 feet away from the wall, what is the length of the ladder?

Back

The length of the ladder is 15 feet, calculated using the Pythagorean theorem: 12² + 9² = 15².