Problem 9 of 34geo-009
In right triangle , the right angle is at , side is units long, and side is units long. What is the value of ?
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Solution walkthrough1:43
- Draw the triangle. From angle , side is adjacent and side is opposite.
- Cosine is adjacent over hypotenuse. The adjacent side is , but the hypotenuse is not given yet.
- Pythagorean theorem: , so .
- Now use the ratio: , adjacent over hypotenuse.
- is . is . flips the tangent, and a cosine is never more than .