Try some yourself
Question 1
What angles do the hour hand and the minute hand of a clock turn through in five hours?
Answer
Every hour the minute hand turns through 360°. It will have made five such revolutions in five hours. This amounts to 1800°.
The hour hand turns through 30° every hour (
of 360°). In five hours it will turn through 5 × 30° = 150°.
Question 2
Give an alternative notation for labelling each of these angles in the diagram below.
(a) α
(b) β
(c)
(d)
ACD
Answer
(a)
or CAB.(b)
or BCA.(c) γ or
DAC.(d) δ or
.