Pre-Calc Exam Notes 17

Pre-Calc Exam Notes 17 - Applications and Solving Right...

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Unformatted text preview: Applications and Solving Right Triangles • Section 1.3 17 You may have noticed that the solutions to the examples we have shown required at least one right triangle. In applied problems it is not always obvious which right triangle to use, which is why these sorts of problems can be difficult. Often no right triangle will be immediately evident, so you will have to create one. There is no general strategy for this, but remember that a right triangle requires a right angle, so look for places where you can form perpendicular line segments. When the problem contains a circle, you can create right angles by using the perpendicularity of the tangent line to the circle at a point 5 with the line that joins that point to the center of the circle. We did exactly that in Examples 1.14, 1.15, and 1.16. Example 1.17 O P B d C D E 1 . 3 8 37 ◦ A The machine tool diagram on the right shows a symmetric V-block , in which one circular roller sits on top of a smaller circular roller....
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