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A 7m long flagstaff is fixed …

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A 7m long flagstaff is fixed on the top of a tower standing on the horizontal plane .from point on the ground the angles of elevation of the top and bottom of flagstaff are 60 and 45 degree .find the height of the tower correct to one place of decimal.use root 3 equal to 1.73

Posted by Bittu Kasana 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 2 months ago

{tex}\frac { x } { y } = \tan 45 ^ { \circ } = 1{/tex}
{tex}\Rightarrow {/tex} x = y
Now in big triangle
tan 60^o = {tex}\frac {x+7}x{/tex}
√3 = {tex}\frac {x+7}x {/tex}
{tex}x(√3-1) = 7{/tex}
So height of the tower
{tex}x=\frac{\gamma}{1.73-1}=9.58{/tex}

0Thank You

ANSWER

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CBSE > Class 10 > Mathematics