Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B are 27 miles apart. How far is

Question

2 years ago

9

weather station A from the storm

1 answer:

cluponka [151] · Answer 1 · 2022-09-03T22:09:59+03:00

Station A is at a distance of 28.83 miles from the storm

Sine rule is used to show the relationship between the sides of a triangle as well as their opposite angles. It is given by:

$\frac{a}{sin(A)}= \frac{b}{sin(B)}=\frac{c}{sin(C)}$

From the diagram:

Also:

Hence:

b = distance station A from the storm, c = AB = 27 miles

Using sine rule:

$\frac{c}{sin(C)} =\frac{b}{sin(B)} \\\\\frac{27}{sin(27)}=\frac{b}{sin(29)} \\\\b=28.83\ miles \\$

Station A is at a distance of 28.83 miles from the storm