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# Tip #34 to Get a Top ACT Math Score (page 2)

By Brian Leaf
McGraw-Hill Professional

1. B We always want to mark all the info from the question into the diagram. And sometimes the ACT does that for us. Here all info is marked. Thanks, ACT. So don't get caught up in the complex wording of the question. Look at the diagram. It's a straightforward SohCahToa question. The key to SohCahToa questions is simply to determine which ratio we need for the question. All we have to do is look at the info given. If we are given opposite and hypotenuse, we use sin. If we are given adjacent and hypotenuse, we use cos. And if we are given opposite and adjacent, we use tan. That's it. So based on the 40° angle, we have the adjacent leg and want the opposite leg. So, we use tan:
2. G Remember that sin, cos, and tan are talking about right triangles, so draw a diagram. Sin represents we know that the opposite leg of vertex A equals 3 and the hypotenuse equals 5. Whenever you have two sides of a right triangle, use a2 + b2 = c2 to get the third side. Great mighty Pythagoras review (Skill 24). So 32 + b2 = 52 and b = 4. Therefore, since the opposite leg equals 3, and the adjacent leg equals 4.
3. A In the diagram, the leg opposite vertex B equals 5, and the hypotenuse equals 7. So
4. J In the diagram, the leg adjacent to vertex Z equals 4, and the hypotenuse equals 5. So

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