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Chapter 8: Q. 35 (page 516)

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

a=5,A=25°

Short Answer

Expert verified

Required values of the triangle areB=65°,b=10.7,c=11.81

Step by step solution

01

Step 1. Given information

a=5,A=25°

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90°

02

Step 2. Calculation

Weknow,ForB,⇒A+B=90°⇒B=90°-A=90°-25°=65°Forb,⇒tanA=ab⇒b=atanA=5tan25°=50.4663=10.7Forc,⇒c2=a2+b2=52+10.72=25+114.49=139.49⇒c=139.49=11.81

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