According to clocks on the ground (system s), streetlights a and b (situated 4 km apart) were both turned on at precisely 8: 00p. m. which one went on first according to an observer on a train (system s') which moves from a to b at 3/5 times the speed of light? how much later (in seconds) did the other light go on?

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong

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