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)

Question

asked Jan 23, 2022 46.6k views

1 Answer

Tere · Answer 1 · 2022-01-27T05:36:34+0000

Answer:

x = 11.4

Explanation:

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

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