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The angle of elevation of the top of a t...

The angle of elevation of the top of a tower from a point on the same level as the foot of tower is `phi`. On moving 'a' mctrcs towards the foot of tower, the angle of elevation becomes `45^(@)` and again on moving b metres in the same dorection, the angle of elevation becomes `(90^(@)-phi)`. Find the height of the tower.

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To solve the problem step by step, we will follow the geometric relationships and trigonometric identities. ### Step 1: Draw the Diagram We start by drawing a diagram to represent the situation. Let: - \( PQ \) be the tower with height \( h \). - \( A \) be the point where the angle of elevation is \( \phi \). - \( B \) be the point where the angle of elevation is \( 45^\circ \). - \( C \) be the point where the angle of elevation is \( 90^\circ - \phi \). ...
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