Q. 17 - Algebra 2

Question

Earth rotates on its axis once every 24 hours.

 How long does it take Earth to rotate through an angle of 315°?

Step-by-Step Solution

Answer

The time taken by Earth to rotate through an angle of 315° is 21 hours.

Step 1. Given information.

Given, Earth rotates on its axis once every 24 hours.

 The time taken by Earth to rotate through an angle of 315° is to be determined.

Step 2. Explanation.

Each rotation is 360°.

 Since 360° takes 24 hours, the required time for 315° is given by:

$\begin{array}{l}\frac{{360}^{°}}{24}=\frac{{315}^{°}}{x}\\ x=\frac{24\times 7}{8}\\ x=21\end{array}$

Step 3. Conclusion.

Hence, the time taken by Earth to rotate through an angle of 315° is 21 hours.