A kite is flying with the help of a string of length 20 $\sqrt{3}$ m, temporarily tied to a point on the ground. The angle made by the string with the ground is $60^{\circ}$ . The height at which the kite is flying is 20 m.

True

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False

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Solution

The correct option is B
False

$s i n ∠ A C B = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} . A C = A B = 20 \sqrt{3} \times \frac{\sqrt{3}}{2} = 30$

$∴$ Height of the kite = 30 m

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A kite is flying with the help of a string of length 20√3m, temporarily tied to a point on the ground. The angle made by the string with the ground is 60∘. The height at which the kite is flying is 20 m.

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

A kite is flying with the help of a string of length 20 $\sqrt{3}$ m, temporarily tied to a point on the ground. The angle made by the string with the ground is $60^{\circ}$ . The height at which the kite is flying is 20 m.

The correct option is B
False

$s i n ∠ A C B = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} . A C = A B = 20 \sqrt{3} \times \frac{\sqrt{3}}{2} = 30$

$∴$ Height of the kite = 30 m