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ICSE Class 10 Answered

The shadow of a vertical tower on a level ground increasesby 10m when the altitude of the sun changes from 45 degree to 30 degree. Find the height of tne tower, correct to two decimal places.
Asked by jaiswalsindhuli717 | 09 Nov, 2018, 07:48: PM
answered-by-expert Expert Answer
As shown in figure, when the altitude of sun is 45°, shadow length AC is equal to tower height AB, because tan45 = 1.

when altitude of sun is 30º, shadow length is AD = (h+10) m.
 
Hence we have, begin mathsize 12px style fraction numerator h over denominator h plus 10 end fraction space equals space tan space 30 space equals space fraction numerator 1 over denominator square root of 3 end fraction end style
solving the above equation for h, we get h = 13.66 m
Answered by Thiyagarajan K | 15 Nov, 2018, 10:37: PM

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