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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^{\circ} with the level ground.

Answer:

Let that the greatest height = x m.

According to the figure

\begin{aligned} \frac{x}{100} &=\sin 60^{\circ} \quad\left[\because \frac{\text { Perp. }}{\text { Hypot. }}=\sin \right] \\ \frac{x}{100} &=\frac{\sqrt{3}}{2} \\ x &=86.6 \mathrm{m} \end{aligned}

The greatest height reached by the kite is 86.6 m

"hi students welcome to lido's online
homework solving session
this is shafrin and i'm your max lido
tutor
today i'm going to solve the following
question the question is
a kite is attached to a 100 meter long
string
find the greatest height reached by the
kite
when a string makes an angle of 60
degree with
when h string makes an angle of 60
degree with the level ground
so in this question
this is the kite
a is the kite a is the kite
and bc is the
ground level and
a kite is attached to a 100 meter long
string
so this is the string
so that is 100 meter
that is 100 meter long string
100 meter long string
it makes an angle when a string makes an
angle so that 100 meter long string
makes an angle of 60 degree
with the level ground
now let the greatest height be
now we have to find the height that is
the greatest height reached by the kite
so let the
greatest height be x meter
let the greatest height
let the greatest height equal to
x meter
so according to the figure sine 60
degree is equal to
sine 60 degree is equal to because we
should find the opposite side that is
ac is x meter ac is
x meter therefore sine 60 degree is
opposite side divided by hypotenuse side
opposite side is ac ac is
x meter and hypotenuse side is a b
that is hundred meter sine sixty degrees
root three by two
root three by two equal to x by hundred
therefore x is equal to
hundred root three divided by two
two one hundred get cancelled in two
table hundred is
fifty times
and the value of 50 root 3's root 3 is
1.732
therefore multiplying 50 and 1.73 to
x is equal to 86.6 meter
86.6 meter
so the greatest height reached by the
kite is
86.6 meter hope you understood this
question
for more such video solutions please
subscribe for lidow learning
and if you have any doubt then drop down
in the comment section
thank you"

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