The height of hill is 1.366 km
<em><u>Solution:</u></em>
The figure is attached below
Let AB is the height of the hill and two stones are C and D respectively where depression is 45 degree and 30 degree
The distance between C and D is 1 km
CD = 1 km
Here depression and hill has formed right angle triangles with the base
To find: height of hill
height of hill = AB
In triangle ABC,
We know tan 45 (in degrees) = 1
AB = BC ----- eqn 1
In triangle ABD,
From attached figure, BD = BC + CD
Also we know that,
As AB = BC from eqn 1 and CD = 1 km,
Hence the height of hill is 1.366 km