SOLUTION: Two wind mills of height 50m and 40m are on either side of the field .A person observes the top of the wind mills from a point in between the mills. The angle of elevation was foun

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Question 1108872: Two wind mills of height 50m and 40m are on either side of the field .A person observes the top of the wind mills from a point in between the mills. The angle of elevation was found to be 45 in both the cases. Find the distance between the wind mills
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!

NO NEED FOR TRIGONOMETRY.
Two right triangles, each with a 45 degree angle, so the other angle of each is also 45 degree.

90 meters apart, 40+50

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One of the distances, tan%2845%29=40%2Fd
d%2F40=1%2Ftan%2845%29
d=40%2Ftan%2845%29

Other of the distances, tan%2845%29=50%2FD
D=50%2Ftan%2845%29

tan%2845%29=1, making distances d=40 and D=50