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

Question

asked Sep 22, 2021 157k views

1 Answer

Boobalan · Answer 1 · 2021-09-28T12:53:20+0000

Answer:

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

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=
$(70)/(sin40^(\circ))$