Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

Sagot :

ANSWER:

40.78 feet

STEP-BY-STEP 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:

[tex]\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 39} \\ \theta=73\text{\degree} \\ \text{ hypotenuse = x} \\ \text{ replacing} \\ \sin 73=\frac{39}{x} \\ x=\frac{39}{\sin 73} \\ x=40.78\text{ ft} \end{gathered}[/tex]

The amount of string is 40.78 feet

View image SenaK745679
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.