Question

a kite is attached to a string.find the length of the string,when the height of the kite is 60m and the string makes an angle  30* with the ground.

Answer 1

sin(theta)=perpendicular side/hypotenuse

sin30*=60/x (let the string lenth x)

1/2=60/x

so x(the string length) is x=60X2=120m.

Answer 2

Length of string is 120 m.

Step-by-step explanation:

1. From attach figure right angle ΔKLM

  let kite is position at K

  Length of string = KL

  Height of kite from ground (MK) =60 m

 Angle made string with horizontal =30°

2. From

   $\sin \theta =\frac{MK}{KL}$      ...1)

   $\sin 30 =\frac{60}{KL}$

   $\frac{1}{2}=\frac{60}{KL}$     ...2)

3. On solving equation 2) ,we get

    Length of string (KL)= 120 m