Question 592456
I'm assuming you are familiar with trigonometric functions. 


In this case, you're going to use the sine function because


sin(angle) = opposite/hypotenuse



So plug in the given info to get


sin(37) = 16/h


now solve for the hypotenuse 'h'


sin(37) = 16/h


h*sin(37) = 16


h = 16/sin(37)


h = 26.58624



So the hypotenuse is roughly 26.58624 units.


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Now that you have the hypotenuse, you can use it to find the adjacent side (ie the other leg)


cos(angle) = adjacent/hypotenuse


cos(37) = x/26.58624


x = 26.58624*cos(37)


x = 21.2327



So the other leg is roughly 21.2327 units.


To find the area, use the formula 


Area = (Base*Height)/2


A = (bh)/2



I'll let you compute the area. Let me know what you get.