Question

Q.3, without using truth table prove that.
{ [ (PVq.) n~p] → ~q} = q→ p​

Answer 1

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