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Answer:
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Explanation:
Let the distance of CD be 'x' meter.
Speed= Distance/Time
=x/6 m/s.
Since the speed is uniform throughout the journey, the same speed will be used to cover BD as well......(1)
Let the tower AB have a height of 'h' meter.
Now, tan60=h/BD
tan60=√3
This implies that h/BD=√3
Which means that BD=h/√3........(2)
tan30=h/BC
tan30=1/√3
This implies that h/BC=1/√3
Which means that BC=h√3..........(3)
BC-BD=x ( According to the figure)
This implies that
h√3-h/√3=x (substituting the values of BC and BD from (2) and (3)).
This implies
(3h-h)/√3= 2h/√3=x
This implies that h= x√3/2........(4)
Now, BD=h/√3 (from(2))
Substituting the value of h from (4), we get that:
BD= (x√3/2)÷2=x/2............(5)
Now, Speed= Distance/time.
We found the distance of BD to be x/2 from equation (5). And Speed will be x/6 from equation (1)
This implies that
x/6=(x/2)÷time taken
This implies that time taken is (x/2)÷(x/6)= 3 seconds.
Hence, the time taken to cover that Distance is 3 seconds
The time to cover distance is 3 seconds
Hope it helps....