SOLUTION: How do I find the value of x in this problem? {{{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

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Question 139572: How do I find the value of x in this problem?

Found 2 solutions by oscargut, Edwin McCravy:
Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website!
tg(25)=x/14
0,4142=x/14
x=0,4142(14)=5,7968

Answer by Edwin McCravy(20060) (Show Source):
You can put this solution on YOUR website!

OSCARGUT'S SOLUTION IS INCORRECT!
HE USED THE WRONG TANGENT VALUE!!
`
CORRECT SOLUTION BY EDWIN:

You must pick the correct one of these equations to use:

Always look at which two sides are involved, whether given or
asked to find, whether they are , or .
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

=
Put a 1 under the left side:
=
Now cross multiply:

Now you need a calculator in degree mode:

Edwin