Question

Your kite stuck in a tree that is 39 feet tall the angle you’re string makes with the ground is 73° rather than worrying about the kite you decide to calculate how much string you have let out assuming the string is held tight and makes a straight line to the ground how much string have you let out

Answer 1

40.78 feet

Explanation:

We make a sketch of the situation of the statement in order to better understand the question.

We can determine the requested distance that is x, using the trigonometric function sine, which relates the opposite side to the hypotenuse of the triangle, like this:

`\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 39} \\ \theta=73\text{\degree} \\ \text{ hypotenuse = x} \\ \text{ replacing} \\ \sin 73=(39)/(x) \\ x=(39)/(\sin 73) \\ x=40.78\text{ ft} \end{gathered}`

The amount of string is 40.78 feet