Answered

Get detailed and reliable answers to your questions with IDNLearn.com. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a stringthat is 18 feet long and makes a 30 degree angle with the ground. How high is the kite?

Kiran Is Flying A Kite He Gets Tired So He Stakes The Kite Into The Ground The Kite Is On A Stringthat Is 18 Feet Long And Makes A 30 Degree Angle With The Grou class=

Sagot :

ANSWER:

9 feet

STEP-BY-STEP EXPLANATION:

We can calculate the value of the height of the kite by means of the trigonometric function sine, which is the following:

[tex]\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \theta=30\text{\degree} \\ \text{hypotenuse = 18} \\ \text{opposite }=x \end{gathered}[/tex]

Replacing and solving for x:

[tex]\begin{gathered} \sin 30=\frac{x}{18} \\ x=\sin 30\cdot18 \\ x=9 \end{gathered}[/tex]

The height of the kite is 9 feet

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.