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28 votes
28 votes
3. Solve for x. Round to the nearest tenth.
14
х
49°

3. Solve for x. Round to the nearest tenth. 14 х 49°-example-1
User Haren S
by
2.6k points

1 Answer

20 votes
20 votes
So for this triangle you are going to use Cos, which is adjacent/hypotenuse.
In this case x is your hypotenuse.

So your equation is going to be Cos(49)= 14/x.
So in order to get x, you are going to have to multiply x by each side. So:

x • Cos(49)= 14/x • x.
Multiplying x and x is going to cancel each other out so your new equation is going to be:

xCos(49)=14.

Now we are going to divide each side by Cos(49). Dividing Cos(49) by itself, will cancel itself out, so then your new equation will be:

x = 14/Cos(49)

Now you are going to put that into your calculator and your answer will be

x = 9.18.

If i’m wrong please tell me and correct me.
Here is a photo of you don’t understand.
3. Solve for x. Round to the nearest tenth. 14 х 49°-example-1
User Dorvalla
by
3.2k points