/*! 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. 17 Solve the trianglea = 3, b = 4, ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 17 (page 535)

Solve the triangle

a = 3, b = 4, C = 40掳

Short Answer

Expert verified

The solution is

c=2.55,A=48.7掳,B=91.3掳

Step by step solution

01

Step1. Given information

a=3,b=4,C=40掳

02

Step2. Formula used

c2=a2+b2-2ab.cosC,cosA=b2+c2-a22bc

03

Step3. Calculation

Weknowc2=a2+b2-2ab.cosC=32+42-2.3.4.cos40掳=9+16-24..77=25-18.48=6.52c=6.52=2.55Again,cosA=b2+c2-a22bc=42+2.552-322.4.2.55=16+6.52-920.4=13.5220.4=.66A=cos-1.66=48.7掳weknow,A+B+C=180掳48.7掳+B+40掳=180掳B=180掳-88.7掳=91.3掳

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

Constructing a Highway A highway whose primary directions are north-south is being constructed along the west coast of Florida. Near Naples, a bay obstructs the straight path of the road. Since the cost of a bridge is prohibitive, engineers decide to go around the bay. The illustration shows the path that they decide on and the measurements taken. What is the length of highway needed to go around the bay?

A radio tower 500feet high is located on the side of a hill with an inclination to the horizontal of 5掳. See the figure. How long should two guys wire be if they are to connect to the top of the tower and be secured at two points 100feet directly above and directly below the base of the tower?

In attempting to fly from Chicago to Louisville, a distance of a 330miles, a pilot inadvertently took a course that was 10掳in error, as indicated in the figure.

(a) If the aircraft maintains an average speed of 220miles per hour and if the error in direction is discovered after 15minutes, through what angle should the pilot turn to head toward Louisville?

(b) What new average speed should the pilot maintain so that the total time of the the trip is 90minutes?

An airplane flies due north from Ft. Myers to Sarasota, a distance of 150miles and then turns through an angle of 50掳and flies to Orlando, a distance of 100miles. See the figure.

(a) How far is it directly from Ft. Myers to Orlando?

(b) What bearing should the pilot use to fly directly from Ft. Myers to Orlando?

A pool player located at X wants to shoot the white ball off the top cushion and hit the red ball dead center. He knows from physics that the white ball will come off a cushion at the same angle as it hits a cushion. Where on the top cushion should he hit the white ball?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Statistics

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.