Ray R1 falls on Beth BB', casting shadow from B' to C. BC makes 50° with the vertical. Ray R2 falls on Anna AA', the ray makes 40° with the vertical. Both Anna and Beth are standing normal to the surface of asteroid. Assuming asteroid to be a sphere, extended lines AA' and BB' meets at the centre of the astroid O, let the angle between the two lines is θ.
To calculate θ we construct line R3 which is parallel to sunrays and passes through the center. Let x be the angle subtended by AO on Ray R3.
Since R2 is parallel to R3
Since R1 is parallel to R3
In radians
The distance between Anna and Beth is 7miles, arc A'B'=7miles
We know that
The circumference is
5. Asteroid: Anna and Beth landed on a huge asteroid. To measure its size, they walked...