/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 22 In the given problem solve the t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 22 (page 527)

In the given problem solve the triangle using the law of sines : B=10掳,C=100掳,b=2

Short Answer

Expert verified

Required values of the triangle arec=11.3,a=10.8,A=70掳

Step by step solution

01

Step 1. Given information

For a triangle with sides a, b, c and opposite angles A, B, C, respectively, Law of sines is given as:

sinAa=sinBb=sinCc
02

Step 2. Calculation

Given,B=10掳,C=100掳,b=2Forc,鈬�sinBb=sinCc鈬�c=sinC脳bsinB=sin100掳脳2sin10掳=0.9848脳20.1736=1.96960.1736=11.345鈮�11.3ForA,鈬�A=180掳-B-C=180掳-10掳-100掳=70掳Fora,鈬�sinAa=sinBb鈬�a=sinA脳bsinB=sin70掳脳2sin10掳=0.9396脳20.1736=1.87920.1736=10.824鈮�10.8

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Make up three problems involving oblique triangles. One should result in one triangle, the second in two triangles, and the third in no triangle.

Find the distance from A to C across the gorge illustrated in the figure.

If two sides and the included angle of a triangle are given, the Law of _______ is used to solve the triangle .

The hypotenuse of a right triangle is 5 inches. If one leg is 2 inches, find the degree measure of each angle.

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
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.