/*! 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} Q37. Solve triangle ABC using the giv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q37. (page 707)

Solve triangle ABC using the given measurements if b=6,C=90and鈭�c=13. Round measure of sides to the nearest tenth and angles to nearest degree.

Short Answer

Expert verified

The solution for triangle ABC isa=11.5,A=62and鈭�B=28掳.

Step by step solution

01

Step 1. Write down the given parameters of triangle.

The given triangle ABC is shown below whose parameters are represented as b=6,C=90and鈭�c=13.

02

Step 2. Calculation.

In triangle ABC, b=6,C=90and鈭�c=13.

Now, in right triangle ABC,

c2=a2+b2鈥塯颈惫别蝉,132=a2+62a2=132鈭�62a=132鈭�62a=11.5

Now by trigonometric ratios,

cosB=accosB=11.513B=cos鈭�111.513B=28掳

Now, C=90and鈭�B=28掳, therefore by angle sum property A=62掳.

03

Step 3. Conclusion.

Thesolution for triangle ABC, is a=11.5,A=62and鈭�B=28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

Solve triangle ABC using the given measurements if tanB=78,C=90and鈭�b=7. Round measure of sides to the nearest tenth and measures of angles to nearest degree.

Draw an angle with given measure of 70掳 in standard position.

Find each probability if a coin is tossed 4 times. (Lesson 12-8)

P(4 heads).

Draw an angle with given measure of 300掳 in standard position.

Find the area of regular hexagon with point O as its center.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.