A drone sees a ship in bay 30 miles from one lighthouse and 18 miles from another what is the distance between the light houses if the angle formed at the ship to both lighthouse is 62 degrees

Distance between the lighthouses is 26.78 miles.

Step-by-step explanation:

Distance between the ship A and lighthouse B = 18 miles

Distance between ship B and lighthouse C = 30 miles

Angle formed at the ship to both the lighthouses = 62°

By applying cosine rule in the given triangle,

(BC)² = (AB)² + (AC)² - 2(AB)(AC)cos(∠A)

(BC)² = (30)² + (18)² - 2(30)(18)cos(62°)

(BC)² = 900 + 324 - 507.03

         = 716.97

BC = √716.97 = 26.78 miles

Therefore, distance between the lighthouses is 26.78 miles.

12+n+n+n

2n+12+n

Step-by-step explanation:

I took the test on K12 and this was the right answer