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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Mathematics
Chapter
Application of Derivatives

BITSAT 2010 · Mathematics · Application of Derivatives

If a flagstaff of 6 metres high placed on the top of a tower throws...

If a flagstaff of 6 metres high placed on the top of a tower throws a shadow of (2 3\sqrt{3}) metres along the ground, then the angle (in degrees) that the sun makes with the ground isIf a flagstaff of 6 metres high placed on the top of a tower throws a shadow of (2 3 ) metres along the ground, then

Options

  1. A(60^{{}^{\circ}})
  2. B(80^{{}^{\circ}})
  3. C(75^{{}^{\circ}})
  4. DNone of these

Correct answer

A. (60^{{}^{\circ}})

Step-by-step solution

Accordingly, (\tan \theta=\frac{h}{x}=\frac{h+6}{x+2 \sqrt{3}}=\frac{6}{2 \sqrt{3}} \Rightarrow \theta=60∘)<imgsrc="/api/proxy−image?url=https[Sincethetriangles60^{{}^{\circ}}) <img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fpyq%252Fbitsat%252FtQkcpar07B9fqdYJWQ12ih7PgndRF2IP_v_OdhX8gvc.original.fullsize.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2FtQkcpar07B9fqdYJWQ12ih7PgndRF2IP_v_OdhX8gvc.original.fullsize.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2FtQkcpar07B9fqdYJWQ12ih7PgndRF2IP_v_OdhX8gvc.original.fullsize.png?alt=media"><br> [Since the trianglesA E CandandB D Caresimilar](hcot⁡α=(h−100)cot⁡β)(∴are similar] (h \cot \alpha=(h-100) \cot \beta) (\thereforeh=\frac{100 \cot \beta}{\cot \beta-\cot \alpha}))
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