Question

Lara's radar on her submarine detects two other subs nearby. The first sub is 360m away, the second sub is 250m, and the angle between them is 34. What is the distance between the other two subs?

Answer 1

the distance between the other two subs is 207 meters

Explanation:

Lara's radar on her submarine detects two other subs nearby. The first sub is 360m away, the second sub is 250m, and the angle between them is 34

Two sides and included angle is given

to find the opposite side of the angle we use cosine formula

`a^2 = b^2 + c^2 -2bc \cdot cos(A)`

b=250 , c=360 and angle A is 34 degrees

`a^2 = 250^2 +360^2 -2 \cdot 250 \cdot 360 \cdot cos(34) \\a^2 = 48873.24\\`

take square root on both sides to remove square

`a= 207.06`

the distance between the other two subs is 207 meters