00:01
For this question, we are going to use right triangle trigonometry and law of signs to find the value of x in the given diagram.
00:13
Let's start by focusing on this right triangle.
00:18
I can use inverse tangent to find that angle, and that's going to be about 10 degrees rounded to the nearest whole number.
00:49
That makes this angle 80 degrees, because those two angles in a right triangle, would add up to 90.
00:57
Let's also find the hypotenuse.
01:03
That's supposed to be a c.
01:06
C squared equals 723 squared plus 427 squared.
01:15
I said squared.
01:16
Why did i write a 3? 423 square.
01:20
That's what happened.
01:22
I would then need to take the square root of both sides, square root of 723, squared plus 427 squared is 839 .6 or 840.
01:46
Now we can put our attention to the oblique triangle...