. From the top of a hill the angles of depression

Best Answer

Explanation:

We will have the figure as,

Where, AB=h km, is the height of the hill. P,Q are two consecutive kilometer stones.

And BP=x km

In ABP, tan 45=ABBP

1=hx     

x=h.........(1)

In ABQ, tan 30=ABBQ

13=hx+1

Using (1), 13=hh+1

h+1=h3

Substituting 3=1.732

h+1=1.732h

0.732h=1

h=10.732

h1.365km

Final Answer:

The height of the hill is 1.365 km. Hence option A is the correct choice.