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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 8: Q. 32 (page 516)

Use the right triangle shown below. Then, using the given information, solve the triangle.
$a = 7, B = 50 掳; f i n d b, c, a n d A$
$a = 7, B = 50 掳; f i n d b, c, a n d A$

Short Answer

Expert verified

The respective values are

$A = 40 掳 b = 5.87 c = 9.14$

Step by step solution

01

Given information

$a = 7, B = 50 掳; f i n d b, c, a n d A$

02

Calculation

$S i n c e B = 50 掳, A + B = 90 掳鈬� A = 40 掳 N o w, \tan (50) = \frac{7}{b} \sin (50) = \frac{7}{c} N o w s o l v i n g f o r a, c b = \frac{7}{\tan (50)} = 5.87 c = \frac{7}{\sin (50)} = 9.14$

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Most popular questions from this chapter

In the given problem solve the triangle using either the law of sines or law of cosines-

$a = 14, b = 7, A = 85 掳$

In the given problem solve the triangle using either the law of sines or law of cosines-

$B = 35 掳, C = 65 掳, a = 15$

What do you do first if you are asked to solve a triangle and are given one side and two angles?

Law of Tangents For any triangle, derive the Law of Tangents.

$\frac{a - b}{a + b} = \frac{\tan [\frac{1}{2} (A - B)]}{\tan [\frac{1}{2} (A + B)]}$

Solve each triangle.

$a = 5, b = 8, c = 9$

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