A kite is flying at a height of 60mabove the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60 .Find the length of the string, assuming that there is no slack in the string.

Asked by Abhisek | 1 year ago |  79

1 Answer

Solution :-

Draw a figure, based on given instruction,

C:\Users\User\Desktop\NCERT\images\trig5.jpg

Let BC = Height of the kite from the ground, BC = 60 m

AC = Inclined length of the string from the ground and

A is the point where string of the kite is tied.

To Find: Length of the string from the ground i.e. the value of AC

From the above figure,

sin 60° = \( \dfrac{BC}{AC}\)

⇒ \( \dfrac{\sqrt{3}}{2}\)\( \dfrac{60}{AC}\)

⇒ AC = \( 40\sqrt{3}\;m\) 

Thus, the length of the string from the ground is \( 40\sqrt{3}\;m\).

Answered by Pragya Singh | 1 year ago

Related Questions

A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at 60° to the horizontal. Determine the height of the balloon from the ground. Assume that there is no slack in the cable.

Class 10 Maths Some Applications of Trigonometry View Answer

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 10 meters. Find the height of the tree.

Class 10 Maths Some Applications of Trigonometry View Answer

The length of the shadow of a tower standing on level plane is found to be 2x meters longer when the sun’s attitude is 30° than when it was 30°. Prove that the height of tower is \( x(\sqrt{3}+1)\) meters.

Class 10 Maths Some Applications of Trigonometry View Answer

A vertical tower stands on a horizontal plane and is surmounted by a flag staff of height 7m. From a point on the plane, the angle of elevation of the bottom of flag staff is 30° and that of the top of the flag staff is 45°. Find the height of the tower.

Class 10 Maths Some Applications of Trigonometry View Answer

A man sitting at a height of 20 m on a tall tree on a small island in the middle of a river observes two poles directly opposite to each other on the two banks of the river and in line with foot of tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the tree on either side of the river are 60° and 30° respectively. Find the width of the river.

Class 10 Maths Some Applications of Trigonometry View Answer