Let AB=x? BD=y
Is it in △ABP? MD:AB=DP:BP
That is1.5: x =1.5:1.5+y? ( 1)
BC=BD+DF+FC=y+2+2=y+4
At △ABC? MF:AB=FC:BC
That is 1.5: x = 2: y+4? (2)
It is derived from equation (1) and equation (2).
1.5/( 1.5+y)=2/(y+4)
The solution is y=3.
Bring y=3 into the equation (1)? The solution is x=8.
So the height of the street lamp from the straight line is 8m.
References:
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