A man standing on a level plain observes the elevation of the top of a pole of height h to be -12- He then walks a distance x m towards the pole and finds that the elevation is now -6- If h - 33 m then x2 is equal to

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Standard X

Mathematics

Heights and Distances

A man standin...

Question

A man standing on a level plain observes the elevation of the top of a pole of height h to be $π / 12$ . He then walks a distance $x m$ towards the pole and finds that the elevation is now $π / 6$ . If $h = 33 m$ then $x^{2}$ is equal to

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Solution

Clearly $∠ P A Q = ∠ A P Q$
$\Rightarrow A Q = x$ (sides opposite to equal angles are equal)
Now in $△ A B Q$
$sin 30^{0} = \frac{h}{A Q}$
$\Rightarrow x = 66 m$
So, $x^{2} = 4356 m^{2}$

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A man standing on a level plain observes the elevation of the top of a pole of height h to be π/12. He then walks a distance x m towards the pole and finds that the elevation is now π/6. If h=33 m then x2 is equal to

Clearly ∠PAQ=∠APQ⇒AQ=x (sides opposite to equal angles are equal)Now in △ABQsin300=hAQ⇒x=66 mSo, x2=4356 m2

A man standing on a level plain observes the elevation of the top of a pole of height h to be $π / 12$ . He then walks a distance $x m$ towards the pole and finds that the elevation is now $π / 6$ . If $h = 33 m$ then $x^{2}$ is equal to

Clearly $∠ P A Q = ∠ A P Q$
$\Rightarrow A Q = x$ (sides opposite to equal angles are equal)
Now in $△ A B Q$
$sin 30^{0} = \frac{h}{A Q}$
$\Rightarrow x = 66 m$
So, $x^{2} = 4356 m^{2}$