Chapter 8: Q. 36 (page 535)

In the given problem solve the triangle using either the law of sines or law of cosines-
$a = 14, b = 7, A = 85 °$

Short Answer

Expert verified

Required values of the triangle are

$B = 29.66 °, C = 65.34 °, c \approx 12.74$

Step by step solution

Step 1. Given information

In the given triangle,

$a = 14, b = 7, A = 85 °$

We know Law of sines,

$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$

Step 2. Calculation

For $B$ ,

$\frac{\sin A}{a} = \frac{\sin B}{b} \Rightarrow \frac{\sin 85 °}{14} = \frac{\sin B}{7} \Rightarrow \sin B = \frac{0.99}{14} \times 7 \Rightarrow \sin B = 0.495 \Rightarrow B = \sin^{- 1} (0.495) \Rightarrow B = 29.66 °$

For $C$ ,

$C = 180 ° - 85 ° - 29.66 ° \Rightarrow C = 65.34 °$

For $c$ ,

$\frac{\sin A}{a} = \frac{\sin C}{c} \Rightarrow \frac{\sin 85 °}{14} = \frac{\sin 65.34}{c} \Rightarrow c = \frac{0.91}{0.99} \times 14 \Rightarrow c \approx 12.74$

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In the given problem solve the triangle using either the law of sines or law of cosines-
$a = 14, b = 7, A = 85 °$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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In the given problem solve the triangle using either the law of sines or law of cosines-a=14,b=7,A=85°

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the given problem solve the triangle using either the law of sines or law of cosines-
$a = 14, b = 7, A = 85 °$