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A man standing directly opposite to one ...

A man standing directly opposite to one side of a road of width x meter views a circular shaped traffic green signal of diameter a meter on the other side of the road. The bottom of the green signal is b meter height from the horizontal level of viewer's eye. If a denotes the angle subtended by the diameter of the green signal at the viewer's eye, then prove that
`alpha = tan^(-1) ((a + b)/(x)) - tan^(-1) ((b)/(x))`.

Text Solution

Verified by Experts

The correct Answer is:
`alpha = tan^(-1) ((a + b)/(x)) - tan^(-1) ((b)/(x))`. Hence proved
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