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Chapter 8: Q. 36 (page 516)

By using the Right angled triangle and the information given below, solve the triangle.

a=6,A=40掳

Short Answer

Expert verified

Required values of the triangle areb=7.2,c=9.37,B=50掳.

Step by step solution

01

Step 1. Given information

a=6,A=40掳

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90掳

02

Step 2. Calculation

Weknow,ForB,鈬�A+B=90掳鈬�B=90掳-A=90掳-40掳=50掳Forb,鈬�tanA=ab鈬�b=atanA=6tan40掳=60.839=7.2鈬�c2=a2+b2=62+7.22=36+51.84=87.84鈬�c=87.84=9.37

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