One files a kite with a thread 150 meter long- If the thread of the kite makes an angle of 60- with the horizontal line- ten the height of the kite from the ground summing the thread to be in a straight line is -

The correct option is B 75√(3) meterIn ABK, sin60^o=h150 √(3)2=h150 ∴ h=75√(3) m ...

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Byju's Answer

Standard IX

Mathematics

Calculating Heights and Distances

One files a k...

Question

One files a kite with a thread 150 meter long. If the thread of the kite makes an angle of $60^{\circ}$ with the horizontal line, ten the height of the kite from the ground (summing the thread to be in a straight line) is :

50

meter

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75 \sqrt{3}

meter

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25 \sqrt{3}

meter

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80

meter

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Solution

The correct option is B $75 \sqrt{3}$ meter
In $△ A B K,$
$sin 60^{o} = \frac{h}{150}$
$\frac{\sqrt{3}}{2} = \frac{h}{150}$
$∴ h = 75 \sqrt{3} m$

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One files a kite with a thread 150 meter long. If the thread of the kite makes an angle of 60∘ with the horizontal line, ten the height of the kite from the ground (summing the thread to be in a straight line) is :

The correct option is B 75√3 meterIn△ABK,sin60o=h150√32=h150∴h=75√3 m

One files a kite with a thread 150 meter long. If the thread of the kite makes an angle of $60^{\circ}$ with the horizontal line, ten the height of the kite from the ground (summing the thread to be in a straight line) is :

The correct option is B $75 \sqrt{3}$ meter
In $△ A B K,$
$sin 60^{o} = \frac{h}{150}$
$\frac{\sqrt{3}}{2} = \frac{h}{150}$
$∴ h = 75 \sqrt{3} m$