A straight pipe which carries water from a reservoir at R to a tap at T . R and T are 2km apart horizontally and R is 500m above the level of T . find the length of the pipe
L = sqrt (2000^2 + 500^2) meters
To find the length of the pipe, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle.
In this case, we have a right triangle, with R and T as the two endpoints of the hypotenuse, and we need to find the length of the hypotenuse, which is the length of the pipe.
The vertical distance between R and T is given as 500m and the horizontal distance is given as 2km (which is 2000m). Let's call the length of the pipe 'L'.
According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as:
L^2 = (2000m)^2 + (500m)^2
Calculating this equation, we get:
L^2 = 4,000,000m^2 + 250,000m^2
L^2 = 4,250,000m^2
To find the value of L, we take the square root of both sides:
L = sqrt(4,250,000m^2)
Using a calculator, we find:
L ≈ 2,060.66 m
Therefore, the length of the pipe is approximately 2060.66 meters.