Answer:
The dolphin is 8[tex]\dfrac{1}{4}[/tex] feet away from the pelican .
Step-by-step explanation:
Given as :
The position of pelican flies above the ocean surface = x = 2[tex]\dfrac{1}{4}[/tex] feet
i.e x = [tex]\dfrac{9}{4}[/tex] feet
The position of dolphin swim below the ocean surface = y = 10[tex]\dfrac{1}{2}[/tex] feet
i.e y = [tex]\dfrac{21}{2}[/tex] feet
Let The difference between the position of pelican and dolphin = z feet
So, z = position of dolphin swim below the surface - position of pelican flies above the surface
Or, z = y - x
Or, z = [tex]\dfrac{21}{2}[/tex] feet - [tex]\dfrac{9}{4}[/tex] feet
Now, taking LCM
z = [tex]\dfrac{42 - 9}{4}[/tex]
∴ z = [tex]\dfrac{33}{4}[/tex] feet
i.e z = 8[tex]\dfrac{1}{4}[/tex] feet
So, The difference between the position of pelican and dolphin = z = 8[tex]\dfrac{1}{4}[/tex] feet
Hence, The dolphin is 8[tex]\dfrac{1}{4}[/tex] feet away from the pelican . Answer
