Trigonometry Challenge

Find the missing side in a right triangle with a hypotenuse of 10 and one leg of 6.

• 8

• 12

• 5

• 4

If sin(theta) = 3/5, find cos(theta).

• 5/3

• 2/5

• 4/5

• 1/5

If tan(alpha) = 4/3, find sin(alpha).

• sin(alpha) = 5/4

• sin(alpha) = 3/5

• sin(alpha) = 2/3

• sin(alpha) = 4/5

What is the Pythagorean theorem?

• a^2 + b^2 = d^2

• a + b = c

• a^2 + b^2 = c^2

• c^2 = a^2 - b^2

If a carpenter has a piece of wood with a length of 24 inches and a height of 7 inches, what is the ratio of the height to the hypotenuse?

• 24/7

• 5/6

• 3/4

• 7/25

• 1/3

If a carpenter has a piece of wood with a length of 24 inches and a height of 7 inches, what is the ratio of the height to the hypotenuse?

• 24/7

• 5/6

• 3/4

• 7/25

• 1/3

If a carpenter has a piece of wood with a length of 24 inches and a height of 7 inches, what is the ratio of the height to the hypotenuse?

• 24/7

• 5/6

• 3/4

• 7/25

• 1/3

如果一个木匠有一块长24英寸，高7英寸的木头，高度与斜边的比值是多少？

• 24/7

• 5/6

• 3/4

• 7/25

• 1/3

Answer explanation

To find the ratio of height to hypotenuse, use the Pythagorean theorem: h^2 + 24^2 = c^2. Substituting values, 7^2 + 24^2 = c^2. Solving gives c = 25. So, the ratio is 7/25.