SOH CAH TOA Practice Quiz: Test your right triangle trig skills.

📚 Topic Summary

SOH CAH TOA is a handy mnemonic device to remember the trigonometric ratios for right triangles. It stands for: Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. These ratios relate the angles of a right triangle to the lengths of its sides. Mastering SOH CAH TOA is crucial for solving various problems involving angles, distances, and heights.

Remember, the Opposite and Adjacent sides are relative to the angle you are considering. The Hypotenuse is always the longest side of the right triangle, opposite the right angle.

🧠 Part A: Vocabulary

Match the terms with their definitions:

1. Sine
2. Cosine
3. Tangent
4. Hypotenuse
5. Adjacent

1. The side next to the angle (not the hypotenuse).
2. The ratio of the opposite side to the hypotenuse.
3. The longest side of a right triangle, opposite the right angle.
4. The ratio of the adjacent side to the hypotenuse.
5. The ratio of the opposite side to the adjacent side.

✍️ Part B: Fill in the Blanks

Complete the following paragraph using the terms: opposite, adjacent, hypotenuse, angle, ratio.

In a right triangle, the sine of an ______ is defined as the ______ of the ______ side to the ______. The cosine is the ratio of the adjacent side to the hypotenuse. The tangent is the ratio of the opposite side to the _______.

🤔 Part C: Critical Thinking

Explain how you can use SOH CAH TOA to find the height of a tree without climbing it. What measurements would you need to take, and how would you use them?