A person stands at a point due south of a tower and observes that its elevation is . He then walks westwards towards , where the elevation is . At a point on produced, he finds it to be . Then is equal to:

Explanation: 1. Find horizontal distances in terms of : Let the angles of elevation from and be and respectively. From point : From point : From point : 2. Relationship between distances on the ground: Since the person walks from to (West), and is on produced: In right : In right : 3. Calculate the ratio : We know , so . Now, the ratio: Correct Option: (b)

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NIMCET 2010 — Mathematics PYQ

NIMCET | Mathematics | 2010

A person stands at a point $A$ due south of a tower and observes that its elevation is $60^\circ$ . He then walks westwards towards $B$ , where the elevation is $45^\circ$ . At a point $C$ on $AB$ produced, he finds it to be $30^\circ$ . Then $AB/BC$ is equal to:

Choose the correct answer: