Question 390190
In a right triangle, given a=32.8 ft and A=28degrees 30'15'',solve for b and c . 
:
Convert 28 deg 30 min 15 sec to degrees
28 + {{{30/60}}} + {{{15/3600}}} ~ 28.504 deg is Angle A
:
we know
A = 28.504 deg
a = 32.8 ft
Find b, c (b will be the hypotenuse)
:
We can use the sine here, side opposite (a) over hypotenuse
:
Sin(28.504) = {{{32.8/b}}}
.477 = {{{32.8/b}}}
.477b = 32.8
b = {{{32.8/.477}}}
b = 68.7 ft length of b
and
Use the cosine to find c (side adjacent over hypotenuse
Cos(28.504) = {{{c/68.7}}}
.879 = {{{c/68.7}}}
c = .879 * 68.7
c = 60.4 ft length of c
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