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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°,B=75.96°

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°

02

Step 2. Calculation

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

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Most popular questions from this chapter

Time Lost due to a Navigation Error In attempting to fly from city P to city Q, an aircraft followed a course that was 10° in error, as indicated in the figure. After flying a distance

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