Question

C) Consider the time 3:40pm where the initial side is the hour hand and terminal side is the

minute hand. Draw the angle between the two hands in standard position. State the angle in

positive degrees and then restate the angle as a negative angle. (2 pts.)

Answer 1

• 210 degrees
• -150 degrees

Explanation:

When the time is 3:40pm

• The Initial Side (hour hand) is at 3.
• Terminal Side (Minute hand) is at 8.

(a)The angle between the two hands in standard position is drawn and attached below.

(b)Now, each hour = 30 degrees

Therefore, the angle between 3 and 8 in an anticlockwise movement

= 7 X 30 =210 degrees

Stating the angle as a negative angle, we have:

`210^\circ-360^\circ=-150^\circ\\$The angle as a negative angle is -150^\circ`