Q.3, without using truth table prove that.
{ [ (PVq.) n~p] → ~q} = q→ p
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Answer:
. ref. image
b. Consider AC=x,AD=x+12
In triangle ABD,
AB
AD
=tan60
o
AB=
tan60
o
AD
⇒AB=
3
x+12
...(1)
In triangle ABC,
AB
AC
tan30
o
⇒AB=
3
1
=x
3
...(2)
Comparing equation (1) and (2)
ie.,
3
x+12
=x
3
⇒3x=x+12
⇒3x−x=12,⇒2x=12,x=6
Hence, the height of the building =6+12=18m.
c. Consider the equation (2)
ie. AB=
3
x
=
3
×6=1.73×6=10.38m
Distance between the building and the boy =10.38cm
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