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CBSE Class 10 Answered

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Asked by ABHILASHA | 16 Jan, 2019, 02:55: PM
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Let H be the height of Tower AB and D is a point from where angle of eleveation bottom of flagstaff and
that of top of flagstaff are α and β respectively.

Let the distance AD be L
 
we have begin mathsize 12px style tan space alpha space equals space H over L space space............... space left parenthesis space 1 space right parenthesis space end style
begin mathsize 12px style tan space beta space equals space fraction numerator H plus h over denominator L end fraction space space............ left parenthesis 2 right parenthesis end style
by dividing (2) by (1), we get,  begin mathsize 12px style fraction numerator tan space beta over denominator tan space alpha end fraction space equals space fraction numerator H space plus space h over denominator H end fraction space equals space 1 space plus space h over H space end style  .............(3)
Eqn.(3) is rewritten as begin mathsize 12px style h over H space equals space fraction numerator tan begin display style space end style begin display style beta end style over denominator tan begin display style space end style begin display style alpha end style end fraction space minus space 1 space space space space space o r space space space H over h space equals space fraction numerator tan begin display style space end style begin display style alpha end style over denominator tan begin display style space end style begin display style beta end style begin display style space end style begin display style minus end style begin display style space end style begin display style tan end style begin display style space end style begin display style alpha end style end fraction space space space space o r space space H space equals space space fraction numerator begin display style h cross times tan space alpha end style over denominator tan begin display style space end style begin display style beta end style begin display style space end style begin display style minus end style begin display style space end style begin display style tan end style begin display style space end style begin display style alpha end style end fraction end style
Answered by Thiyagarajan K | 16 Jan, 2019, 04:16: PM

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