A surveyor is measuring distances in a level yard near a road. A fence post is due north from the surveyor and is 18.5 m away from him. A street sign is to the right of the fence post from the surveyor's view, and is a distance of 23.2 m from him. The surveyor measures the angle between the fence post and the street sign to be 22.2°.

a) What is the distance (in m) between the fence post and the street sign?

b) What is the angle (in degrees) between the surveyor and the street sign, as measured from the position of the fence post? Hint: Draw a top-down view of the situation.

c)

What is the angle (in degrees) between the surveyor and the fence post, as measured from the position of the street sign?

d)

An astronomer measures the angle between two stars in the sky to be 22.2° apart. The distance from Earth to Star A is 18.5 ly. The distance from Earth to star B, which appears to the right of star A, is 23.2 ly. Imagine an alien living on a planet orbiting star A. From the alien's perspective, what is the angle (in degrees) in the sky between star B and our Sun?