From the top of a hill the angle of depression of the two consecutive kilometre stones due to east are found to be 30o and 45o.Find the height of a hill.
Here, AB is the hill and P and Q are two consecutive kilometer stones.
Let the height of the hill AB be h m and BP = x m.
PQ = 1 km = 1000 m
In ΔABP,
⇒ x = h ...(1)
In ΔABQ,
Thus, the height of the hill is m.