Question

a radio dial has 36 equally spaced tick marks, one for each station. the dial can be turned one tick mark at a time. if the dial turns a total of 17 tick marks, how many degrees has it rotated?

Explanation:

Step1: Find degrees per tick mark

A full circle is \(360^\circ\), and there are 36 tick marks. So degrees per tick: \(\frac{360}{36}=10^\circ\) per tick.

Step2: Calculate total rotation for 17 ticks

Multiply degrees per tick by number of ticks: \(10\times17 = 170^\circ\).

Answer:

\(170\)