Question

forest ranger christ johnson at ranger station a sights a fire in teh direction 32 east of north. ranger rick thorpe at ranger station b, 10 miles due east of a, sights the same fire on a line 48 west of north. find the distance from each ranger station to the fire.

Answer 1

Answer: 8.6 from Ranger Christ and 6.8 from Ranger Rick

Step-by-step explanation:

The sides of triangle with A point as Ranger christ, B point as Ranger rick and C point at which two fires intersect.

This can be better understood by using law of sines

$\frac{sin(90-32)}{a}$= $\frac{sin(90-48)}{b}$= $\frac{sin(180-58-42)}{10}$

Solving we get

a= 8.6

and b= 6.8