Question

The string of a kite is 100 metres long and it makes an angle of 60° with the horizontal. Find the height of the kite, assuming that there is no slack in the string. `["Use"sqrt3 = 1.73]`

Answer 1

`sin theta = "opposite"/"hypotenuse"`

here, θ = 60^∘

Hypotenuse = 100 m

Opposite side = h (height of the kite)

sin 60° = `h/100`

sin 60° = `sqrt3/2`

`sqrt3/2 = h/100`

`h = 100 xx sqrt3/2`

`h = 50 xx sqrt3`

h = 50 × 1.73

h = 86.5 m