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Get Analytic Trigonometry With Applns. 10th ed. [intro txt] PDF

By R. Barnett, et. al.,

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Extra resources for Analytic Trigonometry With Applns. 10th ed. [intro txt]

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EXPLORE/DISCUSS 1 Discuss the minimum number of sides and/or angles that must be given in a right triangle in order for you to be able to solve for the remaining angles and sides. 2, without using a scale drawing (see Fig. 1). Solution 310 ft C 20Њ A x B tan u = Opp Adj Substitute u = 20°, Opp = x, and Adj = 310 ft. x Solve for x. 310 ft x = (310 ft)(tan 20°) Use a calculator. = 110 ft To two significant digits tan 20° = ■ FIGURE 1 Matched Problem 1 Solve the problem in Example 1 if AC = 550 ft and ∠A = 30°.

1). Solution 310 ft C 20Њ A x B tan u = Opp Adj Substitute u = 20°, Opp = x, and Adj = 310 ft. x Solve for x. 310 ft x = (310 ft)(tan 20°) Use a calculator. = 110 ft To two significant digits tan 20° = ■ FIGURE 1 Matched Problem 1 Solve the problem in Example 1 if AC = 550 ft and ∠A = 30°. ■ Before proceeding further, we introduce two new terms: angle of elevation and angle of depression. An angle measured from the horizontal upward is called an angle of elevation; one measured from the horizontal downward is called an angle of depression (see Fig.

In this section we show how this can be done without using scale drawings. The concepts introduced here will be generalized extensively as we progress through the book. ■ Pythagorean Theorem ■ We start our discussion of right triangles with the familiar Pythagorean theorem. PYTHAGOREAN THEOREM In a right triangle, the side opposite the right angle is called the hypotenuse and the other two sides are called legs. If a, b, and c are the lengths of the legs and hypotenuse, respectively, then a2 + b2 = c2 .

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