Question

Laras radar on her submarine detects two other subs nearby. the first one is 360m away the second is 250m, and the angle between them is 34degrees.
what is the distance between the two other subs?
do not round during your calculations, round your final answer to the nearest meter.​

Answer 1

Answer:

As u can see, we don't know if this is a right-angle triangle, so...

we can use the law of cosines

here's the formula -  c2 = a2 + b2 − 2ab cos (of C)

(the 2 means squared)

so suppose:

360= a,    and ∠A= the angle between 250 and ?

250= b,   and  ∠B= the angle between ? and 360

&  ? = c,   and  ∠C= 34

(btw there is no strict format for the formula, refer to the pic i put)

so applying this to the formula ( c2 = a2 + b2 − 2ab cos (of C) ) ... we get...

?2= 360^2 + 250^2 - 2*360*250 cos(34)

?2 = =207.058535m