A kite is flying at a height of 60 m above 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

Solution:

We take the height of the flying kite as AB, the length of the string as AC, and the inclination of the string with the ground at ∠C.

Trigonometric ratio involving AB, AC and ∠C is sin θ.

In ΔABC,

sin C = AB / AC

sin 60° = 60/AC

√3/2 = 60/AC

AC = (60 × 2/√3)

= (120 × √3) / (√3 × √3)

= 120√3/3

= 40√3

Length of the string AC = 40√3 m.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 9

Video Solution:

A kite is flying at a height of 60 m above 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

Maths NCERT Solutions Class 10 Chapter 9 Exercise 9.1 Question 5

Summary:

If a kite is flying at a height of 60m above the ground, the string attached to the kite is temporarily tied to a point on the ground and the inclination of the string with the ground is 60°, then the length of the string, assuming that there is no slack in the string is 40√3 m.

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