/*! 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.18 Find the remaining angle(s) and ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q.18 (page 553)

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say 鈥淣o triangle.鈥�a=3,A=10,b=4

Short Answer

Expert verified

The remaining sides and angles areB=13.3C=156.6c=6.86

Step by step solution

01

Step 1. Given information   

The given data isa=3,A=10,b=4

02

Step 2. Find the angle B

Use the Law of sines, sinAa=SinBb=SinCc

Here, a=3,A=10,b=4

sinAa=SinBb=SinCcsin103=SinB4SinB=4*sin103SinB=0.23B=13.3

03

Step 3. Find the angle C 

Since the angle A, B, and c are the angel of a triangle,

A+B+C=18010+13.3+C=180C=156.6

04

Step 4. Find the length of  side C 

Use the Law of sines, sinAa=SinBb=SinCc

Here, a=3,A=10,C=156.6

sinAa=SinBb=SinCcsin103=Sin156.6cc=3Sin156.6sin10c=6.8

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

In the given problem solve the triangle using either the law of sines or law of cosines-

a=14,b=7,A=85掳

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

Finding Distances A forest ranger is walking on a path inclined at 5掳 to the horizontal directly toward a 100-foottall fire observation tower. The angle of elevation from the

path to the top of the tower is 40掳. How far is the ranger from the tower at this time?

Calculating Distances at Sea The navigator of a ship at sea spots two lighthouses that she knows to be 3 miles apart along a straight seashore. She determines that the angles formed between two line-of-sight observations of the lighthouses and the line from the ship directly to shore are 15掳 and 35掳. See the illustration.

(a) How far is the ship from lighthouse P?

(b) How far is the ship from lighthouse Q?

(c) How far is the ship from shore?

Cost of a Triangular Lot The dimensions of a triangular lot are 100 feet by 50 feet by 75 feet. If the price of such land is $3 per square foot, how much does the lot cost?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and 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.