/*! 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. 15 Solve each triangle.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 15 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isA=40掳,a鈮�2,c鈮�3.1.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180掳

A+40掳+100掳=180掳

A=40掳

Now use Law of Sines -

role="math" localid="1646916753582" sinAa=sinBb and role="math" localid="1646916765657" sinBb=sinCc

sin40掳a=sin40掳2 role="math" localid="1646916964723" sin40掳2=sin100掳c

2sin40掳sin40掳=a c=2sin100掳sin40掳

2=a c鈮�3.1

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

What do you do first if you are asked to solve a triangle and are given two sides and the angle opposite one of them?

Mollweide鈥檚 Formula For any triangle, Mollweide鈥檚 Formula (named after Karl Mollweide, 1774鈥�1825) states that a+bc=cos12A-Bsin12C

Derive it.

[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]

Finding the Length of a Ski Lift Consult the figure. To find the length of the span of a proposed ski lift from P to Q, a surveyor measures 鈭�DPQ to be 25掳 and then walks off a

distance of 1000 feet to R and measures 鈭�PRQ to be 15掳. What is the distance from P to Q?

Distance to the Moon At exactly the same time, Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart. The angle of elevation to

the moon for Tom was 49.8974掳 and the angle of elevation to the moon for Alice was 49.9312掳. See the figure. To the nearest 1000 km, how far was the moon from Earth when

the measurement was obtained?

A special case of the Law of Cosines is the Pythagorean theorem.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

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.