SOH CAH TOA practice

James is trying to solve a trigonometry problem. He needs to find the ratio for cosine. Can you help him?

• Height/Adjacent

• Opposite/Adjacent

• Adjacent/Hypotenuse

• Adjacent/Opposite

Thomas, Ethan, and Jacob are trying to calculate the length of a side in a triangle they saw in their math textbook. They remember the SOH-CAH-TOA rule from their trigonometry class. For which type of triangle can they use this rule?

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

Sofia is trying to calculate the height of a tree. She knows the distance from the tree and the angle of elevation. Which ratio should she use for tangent?

• O/A

• A/O

• A/H

• O/H

Liam is trying to calculate the height of a tree. He knows the distance from the tree and the angle of elevation. He decides to use the sine ratio. Can you tell Ethan what is the ratio for sine that Liam should use?

• O/H

• H/A

• H/O

• O/A

Kiara is trying to find the height of a building. She measures the angle of elevation to the top of the building as 47 degrees and the distance from her to the base of the building as 28 meters. Which of the following equations should she use to find the height (x) of the building?

• sin(47) = x/28

• cos(47) = x/28

• tan(47) = x/28

• cos(47) = 28/x

Sofia, Eesha, and Arjun are studying for a math test. Sofia is trying to calculate the height of a tree using trigonometry. Which Trig function should she use if she knows the angle of elevation and the distance from the tree?

• Sine

• Cosine

• Tangent

Avery, Henry, and Aarav are studying for a math test. They come across a problem where they need to find the length of the side of a right triangle. They know the length of the hypotenuse and the angle. Which Trig function should they use?

• Sine

• Cosine

• Tangent

William is trying to find the length of the side 'a' in a right-angled triangle. He knows the lengths of the other two sides. Which method should he use to solve for 'a'?

• sin

• cos

• tan

• Pythagorean theorem

James, Avery, and Arjun are trying to solve a trigonometry problem. They need to find the cosine of angle P in a right-angled triangle. What could be the possible value of cosine P?

• p/q

• q/r

• p/r

• r/q

Scarlett, Rohan, and Grace are studying trigonometry. Scarlett says the correct ratio for sin 40 is w/28. Is she correct?

• Yes, sin 40 = w/28

• No, cos 40 = w/28

• No, tan 40 = w/28

• No, sin 40 = 28/w