Question 139572
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OSCARGUT'S SOLUTION IS INCORRECT!
HE USED THE WRONG TANGENT VALUE!!
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CORRECT SOLUTION BY EDWIN:
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{{{drawing(150,179,-1,15,-8,8,
rectangle(0,0,1,1),locate(5,-.7,14), locate(-.9,3.5,x),
triangle(0,0,14,0,0,6.528307214), locate(8,1.5,"25°"))}}}
<pre><font size = 3>
You must pick the correct one of these equations to use:

{{{SINE=(OPPOSITE)/(HYPOTENUSE)}}}
{{{COSINE=(ADJACENT)/(HYPOTENUSE)}}}
{{{TANGENT=(OPPOSITE)/(ADJACENT)}}}

Always look at which two sides are involved, whether given or 
asked to find, whether they are {{{OPPOSITE}}}, {{{ADJACENT}}} or {{{HYPOTENUSE}}}.  

Here, the given side 14 is ADJACENT to the 25° angle, and the side 
to find x is OPPOSITE the 25° angle.  Therefore, we pick the only
equation above that has both ADJACENT and OPPOSITE in it. So we
know to use the third one, for that is the only one of the three
that has both ADJACENT and OPPOSITE.

So we write
{{{TANGENT=(OPPOSITE)/(ADJACENT)}}}

{{{tan(25)}}} = {{{x/14}}}

Put a 1 under the left side:

{{{(tan(25))/1}}} = {{{x/14}}}

Now cross multiply:

{{{x*1 =14*tan(25)}}}

{{{x =14tan(25)}}}

Now you need a calculator in degree mode:

{{{x=14(.4663076582)}}}

{{{x =6.528307214}}}

Edwin<pre>