The shadow of a tower standing on a level plane is found to be 50m longer when sun's altitude is - Physics - Units And Measurements

Question

The shadow of a tower standing on a level plane is found to be
50m longer when sun's altitude is 300 than when it is
600 Find the height of the tower

Jyoti Pant · Accepted Answer

Suppose AB is a tower and its height is 'h' BC and BD are the
lengths of the shadows such that CD = 50 m

<img alt="" src=
"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/to%20jpg"
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Using the trigonometry,In triangle ABC,tan 600=ABBC=hBCOr hBC=3or
BC=h3and from the triangle ABD,tan 300=ABBD13=hBDOr BD=h3Now,from
the diagramBC+CD=BDh3+50=h3h+503=3hor 2h=503or h=253mSo the height
of tower=253m

The shadow of a tower standing on a level plane is found to be 50m longer when sun's altitude is 300 than when it is 600.Find the height of the tower.

The shadow of a tower standing on a level plane is found to be 50m longer when sun's altitude is 30⁰ than when it is 60⁰.Find the height of the tower.