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Mathematics
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Oct 4th, 2014

11.  Perpendicular = 9 ft

       Base   =  11 ft

Now As we know that    Tan x = Perpendicular / Base

Now putting the values in the above relation , we get

Tan x = 9 / 11

Now 

Tan x = 0.818

Now 

x = Tan^-1 (0.818)

x = 39.28 degrees

Or simply

x = 39 degrees

12.   Perpendicular = 20 ft

      Hypotenuse = 30 ft

Now As we know that    Sine x = Perpendicular / Hypotenuse

Now putting the values we get

Sine x = 20 / 30

Sine x = 0.667

x = Sine^-1 (0.667)

x = 41.83  degrees

Or simply 

x = 41.8 degrees

Oct 4th, 2014

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