A kite is attached to a 100 m long string, then the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground is 86.6 m.
If the above statement is true then enter $1$ and if false then enter $0$ .

Question

A kite is attached to a 100 m long string, then the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground is 86.6 m.
If the above statement is true then enter $1$ and if false then enter $0$ .

Toppr Admin · Accepted Answer

Angle made by string with level of-xA0-ground - 60-x2218-Length of string-xA0- 100 mLet height of kite - xNow- sinx-heightofkiteLengthofstringsin60o-x221A-32-x100x-50-x221A-3 mx-86-6 m

A kite is attached to a 100 m long string, then the greatest height reached by the kite when its string makes an angle of 60∘ with the level ground is 86.6 m.If the above statement is true then enter 1 and if false then enter 0.

Angle made by string with level of ground = 60∘Length of string = 100 mLet height of kite = xNow, sinx=heightofkiteLengthofstringsin60o=√32=x100x=50√3 mx=86.6 m

A kite is attached to a 100 m long string, then the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground is 86.6 m.
If the above statement is true then enter $1$ and if false then enter $0$ .

Angle made by string with level of ground = $60^{\circ}$
Length of string = $100$ m
Let height of kite = $x$
Now, $sin x = \frac{h e i g h t o f k i t e}{L e n g t h o f s t r i n g}$
$sin 60^{o} = \frac{\sqrt{3}}{2} = \frac{x}{100}$
$x = 50 \sqrt{3}$ m
$x = 86.6$ m