Two men on either side of a temple of 30 meters high observe its top at the angles of elevation `alpha` and `beta`? respectively. (as shown in the figure above). The distance between the two men is `40sqrt(3)` meters and the distance between the first person A and the temple is`30sqrt(3)` meters. Based on the above information answer the following:

`/_ABC=`

Options

A. `(pi)/(4)`
B. `(pi)/(6)`
C. `(pi)/(2)`
D. `(pi)/(3)`

Answer

C