Question 741467

let check first is it right angle triangle:

{{{40^2=32^2+24^2}}}

{{{1600=1024+576}}}

{{{1600=1600}}}

so, it is right angle triangle

now we know that we can use  trigonometric function for right angle triangle to find angles

since hypotenuse is {{{40}}}, opposite angle will be {{{C=90}}} degrees

{{{sin (A) = 24/40}}} 

{{{sin (A) = 0.6}}} 

{{{A=36.87}}} degrees

then {{{B=180-(90+36.87)}}} degrees

{{{B=180-126.87}}} degrees

{{{B=53.13}}} degrees