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Jenna is flying a kite on a very windy day. The kite string makes a 60° angle with the ground. The kite is directly above the sandbox, which is 28 feet away from where Jenna is standing. Approximately how much of the kite string is currently being used?

Group of answer choices

48.5 ft

14 ft

56 ft

39.6 ft

Respuesta :

semsee45

Answer:

56 ft

Step-by-step explanation:

Use  [tex]\frac{sinA}{a}=\frac{sinB}{b} [/tex]

      [tex]\frac{sin30}{28}=\frac{sin90}{b} [/tex]

            [tex]b=56[/tex]

Azailia

Hi!

First, I will make a picture for this example. See below

Now, this is a special case triangle. It is a 30 60 90 triangle, meaning that  one angle is 30 degrees, one angle is 60 degrees, and one angle is 90 degrees.

RULES FOR A 30 60 90 TRIANGLE (for more information see here https://brainly.com/question/11751274):

  1. The hypotenuse is twice the length of the short leg.
  2. The long leg is the short leg * [tex]\sqrt{3} [/tex]
  3. The short leg is the opposite of the 30° angle

We know that the short leg is 28 feet long, and using rule number 1, we can find the hypotenuse by multiplying the short leg (28 feet) by 2.

28 x 2 = 56 feet

Ver imagen Azailia

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