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A ladder is placed against a vertical tower. If the ladder makes an angle of 30^{\circ} with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.

Answer:

Let the length of the ladder = x m

According to the figure,

\begin{array}{l} \frac{15}{x}=\sin 30^{\circ} \quad\left[\because \frac{\operatorname{Perp}}{\text { Hypot. }}=\sin \right] \\ \frac{15}{x}=\frac{1}{2} \\ x=30 \mathrm{m} \end{array}

The length of the ladder is 30m.

"hi students welcome to lido's online
homework solving session
this is shafrin and i am your max widow
tutor
today i am going to solve the following
question the question is
a ladle is placed against a vertical
tower
if the ladder makes an angle of 30
degree with the ground
and reaches up to a height of 15 meter
of the tower
find the length of the ladder so in this
question
this is the tower and the height of the
tower is 15 meter
and this is the ladder
this is the ladder and it makes 30
degree
it makes 30 degree with the ground it
makes 30 degree
with the ground
and reaches up to a height of 15 meter
and we have to find the
length of the ladder
let the length of the ladder be x meter
let the length of the ladder
equal to x meter
now the ladder makes an angle of 30
degree with the ground and it
reaches the height of 15 meter of the
tower
therefore it is sine 30 degree sine
30 degree equal to opposite side divided
by hypotenuse side
opposite side is the height of the tower
that is equal to 15 meter
and hypotenuse side is the length of the
ladder that is
x meter so sine 30 degree is nothing but
it is
1 by 2 equal to 15 by x
therefore x is equal to 30 meter
15 into 2 it is 30 meter so the length
of the ladder is 30 meter
hope you understood this question for
more such video solutions
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if you have any doubt
then drop down in the comment section
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