A boy is trying to catch fish sitting at a height of 12 m from the sur...
Apply Pythagoras theorem :
12^2 + 5^2 = x^2
144 + 25 = x^2
169 = x^2
13 = x
A boy is trying to catch fish sitting at a height of 12 m from the sur...
To catch the fish, the boy needs to lower his fishing line into the water until it reaches the fish. We need to find the length of the string required to catch the fish.
Given:
Height of the boy from the surface of the water = 12 m
Horizontal distance of the fish from the boy = 5 m
To determine the length of the string, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's consider the height of the boy as one side of the triangle and the horizontal distance between the boy and the fish as the other side. The string length will be the hypotenuse.
Let the length of the string be 'x.'
Using the Pythagorean theorem, we have:
x^2 = (12^2) + (5^2)
x^2 = 144 + 25
x^2 = 169
Taking the square root of both sides, we have:
x = √169
x = 13
Therefore, the length of the string required to catch the fish is 13 meters.
Hence, the correct answer is option B) 13.