A kite is attached to a $100 m$ long string. Find the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground.

86.6

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45.7

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63.8

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72.0

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Solution

The correct option is A $86.6$
The highest height the kite reaches be P
The length of string is L = 100 m
The angle made by the string with the ground = $60^{\circ}$
now, $sin 60 = \frac{P}{L}$
$P = \frac{100 \sqrt{3}}{2}$
$P = 50 \sqrt{3}$
$P = 86.6$ m

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A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angle of 60∘ with the level ground.

The correct option is A 86.6The highest height the kite reaches be PThe length of string is L = 100 mThe angle made by the string with the ground = 60∘now, sin60=PLP=100√32P=50√3P=86.6 m

A kite is attached to a $100 m$ long string. Find the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground.

The correct option is A $86.6$
The highest height the kite reaches be P
The length of string is L = 100 m
The angle made by the string with the ground = $60^{\circ}$
now, $sin 60 = \frac{P}{L}$
$P = \frac{100 \sqrt{3}}{2}$
$P = 50 \sqrt{3}$
$P = 86.6$ m