A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus, the measure of each central angle required in the question is [tex]8.6^{o}[/tex].
A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus each sector has an equal central angle. Since the sum of the internal angles of a circle is [tex]360^{o}[/tex].
From the given question, it has been stated that the sky wheel has 42 glass-enclosed gondolas. This implies that the sky wheel has been divided into 42 equal sectors.
Therefore,
the measure of each central angle = [tex]\frac{360^{o} }{n}[/tex]
where n represents the number of gondolas (42).
Thus,
the measure of each central angle between gondolas cars= [tex]\frac{360}{42}[/tex]
= 8.5714
The measure of each central angle between gondolas cars is approximate [tex]8.6^{o}[/tex].
For more clarifications on a measure of angles in a circle, visit: https://brainly.com/question/27316918
#SPJ1
