A kite is flying at a height of 75 m from the level ground attached to a string inclined at a 60 to ...

Question

A kite is flying at a height of 75 m from the level ground attached to a string inclined at a 60 to the horizontal Find the length of the string assuming that there is no slack in it

Accepted Answer

Draw a figure based on given instructions.

Let O be the point of the observer and OB = Length of the string from the level of the ground.

AB = 75 m and ∠OAB = 90° and ∠AOB = 60°.

Let OB = x

R S Aggarwal Solutions - Mathematics - Class 10 chapter Height And Distance Question 2 Solution image

From the right ∆OAB, we have

cosec 60 degree

= OB/AB

2/√3 = x/75

x = 50√3 = 86.6

Length of the string is 86.6 m.

RS Aggarwal Solutions Class 10 Mathematics Solutions for Height And Distance Exercise 14 in Chapter 14 - Height And Distance