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Chapter 24- Solution Of Right Triangles | Exercise 24

Question 15

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.

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  • Solution

  • Transcript

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 please subscribe for lidow learning and if you have any doubt then drop down in the comment section thank you"

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Question 15

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.

  • Solution

  • Transcript

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 please subscribe for lidow learning and if you have any doubt then drop down in the comment section thank you"

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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