Question

a ladder is placed against a vertical Tower if the ladder makes an angle of 30 degree with the ground and reaches upto a height of 15 metre of the tower find the length of the ladder​

Answer 1

Answer:

Hopefully it will help you...

Answer 2

The length of the ladder is 30 m.

Explanation:

According to the given information, we made a diagram ( given in attachment ) .

Here , hypotenuse = ladder

Let H be the hypotenuse of the right triangle.

Using trigonometry , the ratio of side opposite to angle to the hypotenuse is sine of angle.

For the given situation  , we have

$\sin 30^{\circ}=\dfrac{15}{H}\\\\ (\dfrac{1}{2})=\dfrac{15}{H}\\\\\Rightarrow\ H=2\times15=30$

Hence, the length of the ladder is 30 m.

# Learn more :

A ladder leaning against a vertical wall makes an angle of 30° with the ground. the foot of the ladder is 3 metre away from the wall what is the length of the ladder​

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