What will be the length of the shadow of the tower, correct to the nearest meter, on a day that the the angle of elevation of the sun is 50 deg given that the tallest freestanding structure in the world is the 553 meter high?

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Answer 1 · 2015-02-05T11:48:51

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Let #a# be the tower (#553 m#) and #b# the shadow,
and #angleA# is the angle of elevation (#50^0#)

The tangent of #angleA# is defined as #a/b#

We fill in what we know:

#tanA=a/b->tan50^0=553/b->1.1918=553/b#

#->b=553/1.1918=464# meter