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 right-angled Triangle DEF qith e=18.3 and angle beta = 72 degrees. please calculate missing legs and angles. thank you in advance :D 

 Sep 25, 2015
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I'm assuming that beta is the angle oposite "e".....[thus, "e" is a leg]

 

The other non-right angle = 90 - 72 = 18 degrees

 

And we can find the length of the other leg , x , using the Law of Sines....so we have

 

x / sin 18 = 18.3 / sin 72   →   x = (18.3)(sin 18) / sin(72)  = about 5.95

 

The hypotenuse = sqrt(18.3^2 + 5.95^2)  = about 19.24

 

 

 

cool cool cool

 Sep 25, 2015

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