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Can someone please explain HOW you solve this problem. Solve for X

Can someone please explain HOW you solve this problem. Solve for X-example-1

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5 votes

Answer:

31.97

Explanation:

Apply the law of sines on the triangle: We know
sin(\pi /2)=1, so putting this in, We get
9/sin(x)=17/sin(90)=17. Now, solving for sin(x), we get
sin(x)=9/17. Taking the inverse,
x=arcsin(7/19), which makes x approximately 31.97 degrees.


Alternatively, you could use the law of cosines to find the 3rd side, and solve for x in that fashion.

User Mbaydar
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