Aship travels due east from bar harbor 38 miles before turning north. the ship's engine cuts out after a while and immediately radios for . the navigator of the rescue boat determines that the shortest route from bar harbor to the ship is 72 miles long. from this information, is it possible for you to calculate the exact direction the rescue boat must travel from shore to intercept the stranded boat? explain why or why not.

Explained

Explanation:

Given:

Ship travels due east from the Bar Harbor 38 miles before turning north

Yes it possible to calculate the exact direction of the ship by assuming there are no large islands in the way, and that the isolated ship does not cut off very far, then what we have here is a right triangle with a 72-mile as hypotenuse and a 38-mile as  "adjacent" side. If θ is the angle out of Bar Harbor, we can write

, and θ = 58.14457°, or 58° 8' 40" north of east. That will be  the exact direction.

specific latent heat of fusion, lf, of a substance is defined as the amount of heat required to change a unit mass of the substance from solid to liquid state, without any change in the temperature.

explanation:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west