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Hello, I got 36.9 degrees for this, is it correct? 

 May 19, 2021
 #1
avatar+121056 
+1

We need  to  find  the other leg  =  sqrt  ( 18.9^2  - 11.4^2)  = sqrt  ( 227.25)  ≈  15.07

 

The  smallest angle will be  opposite  the  shortest  side

 

So    let theta  be  the smallest  angle...and we have  that

 

tan (theta)   =  shorter  leg   / longer  leg

 

tan (theta)  =  11.4  / sqrt (227.25)

 

To  find  theta  use the  arctan   and  make sure your calculator is in degree mode

 

So

 

arctan ( 11.4  /sqrt ( 227.25) )    =  theta  = 37.1°

 

cool cool cool

 May 19, 2021
 #2
avatar
+1

The other leg  b = sqrt(18.92 - 11.42)       b ≈ 15.075

 

sin(A) = 11.4 / 18.9

 

Angle  A = 37.0976018º

 May 19, 2021
edited by Guest  May 19, 2021

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