Question

How do I solve this I need help and if it’s not too much trouble can you help me understand which system to use. (Btw it’s trigonometry)

Answer 1

`x = 11.4`

Explanation:

So there are ways to find a missing side of a triangle.

• Pythagorean Theorem
• Law of Sines
• Law of Cosines
• Sine,Tangent, or Cosine Function.

I'll explain when we use them,

• We use pythagorean theorem if we have a right angle and know at least two sides of a triangle. Since we dont know two sides, we are not going to use that.

• We use law of sines if we know a given angle and a side opposite of that angle and a side or angle opposite of the angle or side we are trying to find
• If we apply the triangle interior theorem, we can use law of sines. Since 11 and 44 degrees are opposite sides, and x and the missing angle which is 46 is opposite side and angle as well.

• We use law of Cosines if we know two sides and a angle between them. We have a missing side so we cant use law of Cosines.
• Since we are trying to find side measures, sometimes it isn't advised to use SOHCAHTOA.
• So let use law of sines.

`(11)/( \sin(44) ) = (x)/( \sin(46) )`

`(11)/( \sin(44) ) * \sin(46) = x`

`x = 11.4`