6. Find the length of the shadow on the
ground of a pole of height 6 m when the
angle of elevation of the Sun is such that tan thita =3/4
CBSE 2013
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Gurnoorlamba
25.10.2019
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Find the length of shadow on the ground of a pole of height 6m when the angle of elevation theta of the sum is such that tan Theta is 3by 4
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Answer
Length of Shadow is 8 m
Solution
Given that :-
Height of pole = 6m
tan theta = 3/4
Let , Length of Shadow = x m
Now we are provided with tan theta and we know that
\tan( \theta) = \frac{perpendicular}{base} \\
Here putting required values :-
= > \frac{3}{4} = \frac{6}{x} \\
= > 3x = 24 \\
= > x = \frac{24}{3} \\
= > x = 8 \\
So the value of x is 8m
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