# Solution - Heights and Distances

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ConceptHeights and Distances

#### Question

Two stations due south of a leaning tower which leans towards the north are at distance a and b from its foot. If α, β be the elevations of the top of the tower from these stations, prove that its inclination θ to the horizontal is given by \text{cot }\theta =\frac{bcot alpha -a\cot \beta }{b-a}

#### Solution

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