Question

Express the length of the kite string in terms of trigonometric ratios.

Answer 1

`(70)/(sin40^(\circ))`

Explanation:

We are given that

Height of the kite from the ground=h=70 feet

`\theta=40^(\circ)`

We have to find the length of kite string in term of trigonometric ratios.

Let length of string=x

We know that

`sin\theta=(Perpendicular\;side)/(hypotenuse)`

Using the formula

`sin40^(\circ)=(h)/(x)`

`sin40^(\circ)=(70)/(x)`

`x=(70)/(sin40^(\circ))`

Hence, the length of kite string=
`(70)/(sin40^(\circ))`