SOH CAH TOA is a mnemonic device that helps you remember the trigonometric ratios used to find unknown side lengths in right triangles. Sine (SOH) is Opposite over Hypotenuse, Cosine (CAH) is Adjacent over Hypotenuse, and Tangent (TOA) is Opposite over Adjacent. By setting up the correct ratio and using a little algebra, you can easily solve for the missing side!
This worksheet provides practice in identifying the correct trigonometric ratio to use and then solving for the unknown side length. Make sure your calculator is in degree mode!
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Sine | A. The side opposite the right angle in a right triangle. |
| 2. Cosine | B. The ratio of the opposite side to the adjacent side. |
| 3. Tangent | C. The ratio of the adjacent side to the hypotenuse. |
| 4. Opposite | D. The ratio of the opposite side to the hypotenuse. |
| 5. Hypotenuse | E. The side across from the given angle. |
Use the words opposite, adjacent, and hypotenuse to complete the following sentences.
Explain in your own words how SOH CAH TOA helps you solve for unknown side lengths in a right triangle. Give a specific example.
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