To find the length of the minute hand of a clock.
Answer to Problem 15CT
The length of the minute hand of a clock is 12 cm.
Explanation of Solution
Given information:
The minute hand of a clock is 3 cm longer than the hour hand and the distance between the tips of the hands at nine o’clock is 15 cm.
Let, the length of the hour hand of a clock,
Pythagoras theorem:
(Hypotenuse)2 = (Base)2 + (Height)2
Now, according to the Pythagoras theorem-
In
Since
Here, the only reasonable solution is
So, the length of the hour hand of a clock is 9 cm.
Hence,
The length of the minute hand of a clock is 12 cm.
Chapter 4 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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