Questions & Answers

Question

Answers

(A) ${134^ \circ }$

(B) ${135^ \circ }$

(C) ${132^ \circ }$

(D) ${130^ \circ }$

Answer
Verified

According to the question we have to find the degree of hour hand made at 4.24 pm

As we know that in 12 hours a clock made angle = ${360^ \circ }$

Now the angle made by the hour hand of the clock in 1 hour = $\dfrac{{{{360}^ \circ }}}{{12}}$

\[ = {30^ \circ }\]

So, the angle made by the hour hand of the clock in 1 minute= $\dfrac{{30}}{{60}}$

$ = {\dfrac{1}{2}^ \circ } = {0.5^ \circ }$

As we know that 1 hour = 60 minutes

Now we calculate the total number of minutes from 12.00 to 4.24 pm we get

$ = 4 \times 60 + 24$

$ = 240 + 24$

$ = 264$

Therefore the total number of minutes=264 minutes

Now we calculate the angle made by clock in 264 minutes we get

$ = 264 \times \dfrac{1}{2}$

$ = {132^ \circ }$

The angle made by the hour hand of the clock at 4.24 pm is ${132^ \circ }$