Chapter 1.3, Problem 16PSC

To determine

To find:The time of B’s clock.

Answer to Problem 16PSC

The time of B’s clock is $11:10AM$ .

Explanation of Solution

Given information:

B’s said “The minute hand is pointing directly on one of the twelve numbers of the clock, the hour is pointing towards a spot whose nearest number is at least five times the number the minute hand is pointing, the angle formed by hands is acute, the sun is shining in the east and it is not five minutes past the hour”.

  

The minute hand is pointing directly on one of the twelve numbers of the clock.

The hour is pointing towards a spot whose nearest number is at least five times the number the minute hand is pointing.

  $11\approx \left(2\times 5\right)$

The angle formed by hands is acute.

An acute angle is an angle smaller than a right angle. In simple words, acute means small.

The range of an acute angles is between 0 and 90 degrees.

The sun is shining in east. As sun rises in east, it means that it is forenoon.