Answer:
Step-by-step explanation:
The only angle we are given directly inside that triangle is angle R, 87 degrees. We can use the fact that the exterior angle at T is 92, so the interior angle is 180 - 92 = 88. Now we can find angle S: 180 - 87 - 88 = 5. So angle S = 5 degrees. The Law of Sines can be used now to find the length of SR:
[tex]\frac{sin5}{950} =\frac{sin88}{x}[/tex]
Cross multiply to get
x sin5 = 950 sin88 and
[tex]x=\frac{950sin88}{sin5}[/tex] so
x = 10,893 km
