Question

a balloon is tethered to the ground by a string 5 m long if the string makes an angle of 65 degrees with the ground how high above the ground is the balloon

Answer 1

In this problem use Sin functions to solve.
Sin(90) / 5
and set that equal to...
Sin(65) / x
and see what you come up with

Answer 2

The height should be somewhere around 4.5

Answer 3

h = 5*sin65 = 4.53 m.