A kite is attached to a string of length 20 $\sqrt{3}$ m is tied to a pole on the level ground. If the string of the kite makes an angle of elevation of $60^{\circ}$ with the ground, then the kite is flying at a height of 20 m.

True

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False

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Solution

The correct option is B
False

$s i n ∠ A C B = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} = \frac{A B}{A C} \Rightarrow A B = A C \times s i n 60^{\circ} = 20 \sqrt{3} \times \frac{\sqrt{3}}{2} ∴ Height of the kite is 30 m .$

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A kite is attached to a string of length 20√3m is tied to a pole on the level ground. If the string of the kite makes an angle of elevation of 60∘ with the ground, then the kite is flying at a height of 20 m.

The correct option is B False sin∠ACB=ABAC⇒sin60∘=ABAC⇒AB=AC × sin60∘=20√3×√32∴Height of the kite is 30m.

A kite is attached to a string of length 20 $\sqrt{3}$ m is tied to a pole on the level ground. If the string of the kite makes an angle of elevation of $60^{\circ}$ with the ground, then the kite is flying at a height of 20 m.

The correct option is B
False

$s i n ∠ A C B = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} = \frac{A B}{A C} \Rightarrow A B = A C \times s i n 60^{\circ} = 20 \sqrt{3} \times \frac{\sqrt{3}}{2} ∴ Height of the kite is 30 m .$