Answer:
The length of the kite string in terms of trigonometric ratios, if we call it L, is [tex]L=\frac{70}{sin(40\°)}ft[/tex]
Step-by-step explanation:
As we have to use the trigonometric ratios, and knowing that in a right triangle the relation
[tex]hypotenuse*sin(angle)=opposite leg[/tex]
is valid. We call the hypotenuse as L, and we know the other two data (angle and opposite leg), so we have that
[tex]L*sin(40\°)=70ft\Leftrightarrow L=\frac{70}{sin(40\°)}ft[/tex]
Then,
[tex]L=\frac{70}{sin(40\°)}ft[/tex]
is the answer that we are looking for to solve the problem.
