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Chapter 8: Q. 41 (page 516)

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

a=2,c=5

Short Answer

Expert verified

Required values of the triangle areb=4.58,A=23.58掳,B=66.42掳

Step by step solution

01

Step 1. Given information

a=2,c=5

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鈬�b2=c2-a2=52-22=25-4=21鈬�b=21=4.58ForA,鈬�tan(A)=ab=24.58=0.4366鈬�A=tan-1(0.4366)=23.58掳ForB,鈬�A+B=90掳鈬�B=90掳-A=90掳-23.58掳=66.42掳

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Most popular questions from this chapter

Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55掳E; the call to Station Baker indicates that the ship is located S60掳E.

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A=40掳,B=20掳,a=2
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