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aivan3 [116]
3 years ago
8

One more repair is needed to get the ferris wheel up and running! This one will require a cable to connect chair L to the ground

, and then continue back to chair J (as pictured). In the image, this is represented by the blue line. What is the angle that is formed by the cable at the ground?

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

<h2>15°</h2>

Step-by-step explanation:

We know that the central angle of a circle is 360°.

In this case, we have the circle divided into 12 equal parts, so each angle would be also the 12th part of 360°.

\theta = \frac{360\° }{12}= 30\°

Each circular sector has an angle of 30°, and each arc is equal to 30°.

Now, notice that tha angle formed by the two blue cables is an external angle formed by two secants, that means we can use the following relation

\alpha = \frac{1}{2}(60\° - 30\°)

Where \alpha is the angle formed by the two blue cables.

\alpha = \frac{1}{2}(30\°)=15\°

Therefore, the angle measures 15°.

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