In Conceptual Example 29-7 we considered an astronaut at rest on an inclined bed inside a moving spaceship. From the point of view of observer 1, on board the ship, the astronaut has a length L0 and is inclined at an angle (0 above the floor. Observer 2 sees the spaceship moving to the right with a speed v.

(a) Show that the length of the astronaut as measured by observer 2 is

(b) Show that the angle u the astronaut makes with the floor of the ship, as measured by observer 2, is given by

- ()- |cos? 8o = LoV\ tan 8, tan 0 VI - v/