2-a plane mirror is fixed so that it is at an angle 50 degrees to table .aray of light is incident on a mirror
Which angle does the reflected ray make with the table?

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

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000