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Chapter 8: Q. 40 (page 516)

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

a=2.b=8

Short Answer

Expert verified

Required values of the triangle arec=8.25,A=14.04掳,B=75.96掳

Step by step solution

01

Step 1. Given information

a=2,b=8

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90掳

02

Step 2. Calculation

Weknow,Forc,鈬�c2=a2+b2=22+82=4+64=68鈬�c=68=8.25ForA,鈬�tan(A)=ab=28=0.25鈬�A=tan-1(0.25)=14.04掳ForB,鈬�A+B=90掳鈬�B=90掳-A=90掳-14.04掳=75.96掳

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