The top of a hill observed from the top and bottom of a building of height is at angles of elevation and respectively. The height of the hill is:

Explanation: 1. Given Data: Building ki height Hill ki height Building ke bottom se hill ke top ka angle of elevation Building ke top se hill ke top ka angle of elevation 2. Building ke bottom se (Triangle 1): Jab hum building ke base se hill ko dekhte hain, tab triangle banta hai jisme perpendicular hai aur base hai. Yahan se hum ki value nikal sakte hain: 3. Building ke top se (Triangle 2): Jab hum building ke top (height ) se dekhte hain, toh hill ka bacha hua hissa perpendicular banta hai. Yahan se bhi ki value nikalte hain: 4. Equating both values of : Dono equations ko barabar rakhne par: Ab isse simplify karte hain: 5. Final Result: Conclusion: Hill ki height ka formula niche diya gaya hai:

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CUET PG 2023 — Mathematics PYQ

CUET PG | Mathematics | 2023

The top of a hill observed from the top and bottom of a building of height $h$ is at angles of elevation $p$ and $q$ respectively. The height of the hill is:

Choose the correct answer: