Question

La manecilla de un reloj gira 1/4 de vuelta y luego 1/8, Cuantos grados giró la manecilla de ese reloj?

Answer 1

Answer: $135 \°$

Step-by-step explanation:

If we model the clock as a circumference, we will be able to see that a complete turn (the whole circumference) represents $360\°$, hence:

$1 turn=360\°$

Now we have to find the equivalence between $\frac{1}{4} turn$ and $\frac{1}{8} turn$ and degrees. So, in order to do this, we can make a Rule of Three:

For $\frac{1}{4} turn$:

$1 turn----360\°$

$\frac{1}{4} turn----?$

$?=\frac{(\frac{1}{4} turn)(360\°)}{1 turn}$

$?=90\°$

For $\frac{1}{8} turn$:

$1 turn----360\°$

$\frac{1}{8} turn----??$

$??=\frac{(\frac{1}{8} turn)(360\°)}{1 turn}$

$??=45\°$

Adding both angles:

$90\°+45\°=135 \°$