Question

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?

Answer 1

Answer:

15°

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°.