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Amit standig on a horizontal plane …

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Amit standig on a horizontal plane dind bird flying at distance of a 200m from him at an elevation of 30degree Deepak standing on the roof of a 50m high building find the angle of a elevation of the same bird to be 45degree Amit and Deepak are on oposite sides of the bird find the distanceof the bord from Deepak

Posted by Abhishek Magi 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Åsthå Åsthå 5 years, 2 months ago

Let Amit is standing at bottom of the building at B and observing the bird at C with angle of elevation 30o. It is assumed that given distance 200m is BC, the distance along line of sight We have, ⇒ sin30o=BCCD ⇒ 21=200CD ⇒ CD=2200 ⇒ CD=100m If Deepak is seeing the same bird at top of the building with an angle of elevation 45o, we have, ⇒ sin45o=ACCE ⇒ 21=ACCE ⇒ AC=2CE ⇒ AC=(CD−DE)2 ⇒ AC=(100−50)2 ⇒ AC=502 ⇒ AC=50×1.414 ⇒ AC=70.7

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