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Chapter 8: Q. 37 (page 516)

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

c=9,B=20掳


Short Answer

Expert verified

Required values of the triangle areA=70掳,a=8.45,b=3.09

Step by step solution

01

Step 1. Given information

c=9,B=20掳

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90掳


02

Step 2. Calculation

Weknow,ForA,鈬�A+B=90掳鈬�A=90掳-B=90掳-20掳=70掳Fora,鈬�sin(A)=ac鈬�a=sin(A)脳c=sin(70掳)脳9=0.9396脳9=8.45Forb,鈬�c2=a2+b2鈬�b2=c2-a2=92-8.452=81-71.4025=9.5975鈬�b=9.5975=3.09

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