Answer:
10 hours
Explanation:
The Earth completes one full rotation on its axis in approximately 24 hours.
To determine how long it takes for the Earth to rotate a certain number of degrees, we can set up a proportion.
Let
be the time it takes for the Earth to rotate 150 degrees.
![\sf \frac{t}{24 \textsf{ hours}} = (150^\circ )/(360 ^\circ )](https://img.qammunity.org/2023/formulas/mathematics/high-school/rdjabjvwdilamgch4jl3ysb6gv82bk1u22.png)
Now, solve for
:
![\sf t = (150 * 24)/(360)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gpm2cil0edp56h48tmpogy7q5og0yq8lym.png)
![\sf t = (3600)/(360)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zbcg9n73ixrc9ug601f3xh03rgc24rsjv4.png)
![\sf t = 10 \textsf{ hours}](https://img.qammunity.org/2023/formulas/mathematics/high-school/x2jeyzxew3j0fq07ylxasm4suznqozfh8h.png)
Therefore, it takes approximately 10 hours for the Earth to rotate 150 degrees on its axis.