A lamp post is situated at the middle point 
of the side 
of a triangular plot 
with 
, 
and 
. Lamp post subtends an angle 
at the point 
. Determine the height of the lamp post.
Text Solution
Verified by ExpertsB
From fig., we have 
and 
.
is the mid-point of the side 
at which lamp post 
of height 
(say) is located. Again, it is given that lamp post subtends an angle 
(say) at 
which is 
.
Applying cosine formulae in 
, we have
Similarly, using cosine formulae in 
, we get
.
Here, 
, since 
is the mid-point of 
.
Therefore, using (i), we get
Thus, from 
right angled at 
, we have
or 
or 
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