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
