From post C, An airplane and a helicopter travel to different islands.The plane travels.415 km N 60degrees45minutes E to island A. and the helicopter travels to island B at S 19degrees5minutes E for 120 km. what is the distance between tthe two island

Draw a diagram. You will see that the distance d is given using the law of cosines:

d^2 = 415^2 + 120^2 - 2*415*120*cos 100°10'

explain sir :(

sir explain sir?

why is the angle 100 degrees 10 minutes? wht is the equation like that?

sir steve ????

To find the distance between the two islands, we can use the formula for finding the distance between two points on the Earth's surface using their latitudes and longitudes.

1. Convert the given directions from degrees and minutes to decimal degrees:
- The airplane travels N 60 degrees 45 minutes E:
- North direction = 60 degrees 45 minutes = 60.75 degrees
- East direction = 60 degrees 45 minutes = 60.75 degrees
- The helicopter travels S 19 degrees 5 minutes E:
- South direction = 19 degrees 5 minutes = -19.08 degrees
- East direction = 19 degrees 5 minutes = 19.08 degrees

2. Convert the decimal degrees to radians:
- North direction = 60.75 degrees * (pi/180) = 1.060871 radians
- South direction = -19.08 degrees * (pi/180) = -0.332737 radians
- East direction = 60.75 degrees * (pi/180) = 1.060871 radians

3. Calculate the distance between the two islands using the haversine formula:
- Let's assume the radius of the Earth as 6371 km. You can use a different value if you have a more accurate one.
- The formula is:
- Distance = 2 * radius * arcsin(sqrt(sin^2((lat2 - lat1)/2) + cos(lat1) * cos(lat2) * sin^2((lon2 - lon1)/2)))

- Substituting the values:
- Distance = 2 * 6371 km * arcsin(sqrt(sin^2((0.332737 - 1.060871)/2) + cos(1.060871) * cos(-0.332737) * sin^2((19.08 - 60.75)/2)))

4. Calculate the distance using a calculator or programming language of your choice.

Please note that the result will be in kilometers, as we are using the Earth's radius in kilometers.