Question

A tourist in London looks up at the clock in Big Ben tower and finds that it is exactly 8:00. When she looks up at the clock later, it is exactly 8:10.
Through what angle of rotation did the minute hand turn? Through what angle of rotation did the hour hand turn?Make a table that shows different amounts of time, from 5 minutes to 60 minutes, in 5-minute increments. For each number of minutes,

Answer 1

To answer that question we need to use THE RULE OF THREE, this rule will help us solving linear relation problems.

Solution is:

The hour hand will turn (1/36)×π

The Table

Step      minute hand                hour hand

0-5         (1/6)×π                            (1/72)×π

  10        (2/6)×π                           (1/36)×π

  15        (3/6)×π   = π/2                (1/24)×π

  20       (4/6)×π   = (2/3)×π          (1/18)×π

  25       (5/6)×π                           (5/72)×π

  30       (6/6)×π   = π                   (1/12)×π

  35        (7/6)×π                          (7/72)×π

  40        (8/6)×π                          (8/72)×π

  45        (9/6)×π  = (3/2)×π         (3/24)×π

  50        ( 10/6)×π                       ( 10/72)×π

  55        (11/6)×π                          (11/72)×π

  60         (12/6)×π  = 2×π            (12/72)×π    = π/6

• We know that each complete minute hand turn, is a 2×π angle turn, then a 5 minutes turn is (1/12) × 2×π = (π/6)
• We will use that relationship to build the table and answer the question

If   2×π  angle for a minute hand turn is equal to 1 hour, then

(2/6) angle for a minute hand turn is equal to  "x" turn in the hour hand

So by Rule of Three, we proceed

2×π         ( Of minute hand)   ⇒    (1/6)×π   (of hour hand)

(2/6)× π   ( Of minute hand)   ⇒        x

Solving for x

2×π × x   = (2/6)× π × (1/6)×π

2× x  =  (2/36)×π

x = (1/36)×π

Now to build the table in 5 minutes steps:

Related Link: brainly.com/question/19586594