SOLUTION: a cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed dire

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Question 240830: a cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed directly to some grain on the level straight road between the towers. The pigeons reach the grain at the same time.
How far is the grain from the foot of the cathedral tower?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the distance from the base of the cathedral tower where the two birds meet.

Then the distance from the meeting point to the base of the church tower is

Now you have one right triangle with legs of 200 and and another right triangle with legs of 150 and . Since the birds left at the same moment and flew the same speed, the hypotenuses of the two right triangles must be equal.

Therefore:



Just solve for

John