Chapter 9 TEST

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the Pythagorean theorem?

Back

Front

How do you find the height of a ladder leaning against a wall?

Back

Use the sine function: height = ladder length * sin(angle).

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

If a ladder makes an angle of 74° with the ground and is 25 feet long, how high does it reach?

Back

Height = 25 * sin(74°) ≈ 24.1 feet.

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

If a right triangle has sides of length 8 and 15, what is the length of the hypotenuse?

Back

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 calculate the angle of elevation from the ground to the top of a ladder?

Back

Use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.