Once you attempt the question then PrepInsta explanation will be displayed.

I'm going to guess that the grain is on the ground.

Then the distance each bird flies is the hypotenuse formed by the triangle

with one leg their building and the other the distance to the grain.

Let x = distance grain is from the church, then

350 - x = distance from the Catholic tower

Using the Pythagorean Theorem:

distance the bird on the church flies = √(x^2 + 150^2)

......................................… + 22,500)

distance the bird on the Catholic tower flies = √[(350-x)^2 + 200^2]

......................................… √(122,500 - 700x + x^2 + 40,000)

......................................… √(x^2 - 700x +162,500)

d=r*t, but you said that their rates were constant and they arrived at the same time,

That means whatever faster rate the Catholic bird flew at it was enough to make

the distances seem to be equal.

√(x^2 + 22,500 = √(x^2 - 700x + 162,500)....square both sides to remove radical

x^2 + 22,500 = x^2 - 700x + 162,500............get = to 0 by subtracting the left side

-700x + 140,000 = 0......................................g… x-term alone by subtracting140,000

-700x = -140,000

x = 200 ft is the distance from the church

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