Question

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

Answer 1

Answer:

$\frac{70}{sin40^{\circ}}$

Step-by-step 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

$sin\theta=\frac{Perpendicular\;side}{hypotenuse}$

Using the formula

$sin40^{\circ}=\frac{h}{x}$

$sin40^{\circ}=\frac{70}{x}$

$x=\frac{70}{sin40^{\circ}}$

Hence, the length of kite string=$\frac{70}{sin40^{\circ}}$