11351 Find the measure of the smaller angle formed by the ha

1.1.351 Find the measure of the smaller angle formed by the hands of a clock at the following time. 3:25 The angleis .. (Simplify your answer.) Usi apte Enter your answer in the edit fields and then click Check Answer All parts showing apte Clear All ks 2017 Poarson Education, Inc. All rights reserved Legal Notico I Privacy Policy Legal Notico 1 Privacy Policy Permissions I Support 1 Foedba 9

Solution

At 3:25 , the hour hand is below the figure 3 and the minute hand is on the figure 5

In 1 hour (= 60 min), the hour hand moves through 360 /12 = 30 deg

In 25 min the hour hand moves through (30/60)*25 = 12.5 deg

Angle between the figures 3 and 5 = 2*30 = 60 deg

The hour hand is 12.5 deg below the figure 3

Hence, the smaller angle formed by the hands of the clock = (60 - 12.5) deg = 47.5 deg