# Math

posted by .

If the length of the hour and the minute hands of a clock are 4 cm and 6 cm, respectively, what is the distance in cm between the tips of the hands at two o'clock?

• Math -

there are 30° per hour

at 2:00, the minute hand is at 90°-60°=30° (measuring from horizontal)

the hour hand is at 90-(60+30/6) = 25°

minute tip is at (6cos30°,6sin30°) = (5.2,3.0)
hour tip is at (4cos25°,4sin25°)=(3.6,1.7)

d^2 = 1.6^2 + 1.3^2
d = 2.1 cm

• Math -

oops I was thinking 2:10

at 2:00, the hands are at (0,6) and (3.46,2)

d = 5.3 cm

## Similar Questions

1. ### Math

The minute hand on a watch is 8mm long and the hour hand is 4mm long. How fast is the distance between the tips of the hands changing at one o'clock?
2. ### math

the hour hand of a clock is 5 inches long and the minute hand is 6 inches long. determine the distance between the tips of the hands at 11:40 pm?
3. ### calculus

If the hands on a clocktower's clock are 2ft and 3ft long, how fast is the distance between the tips of the hands of the clock changing at 9:20?
4. ### College Calculus

The hands of a clock in some tower are 4.5m and 2m in length. How fast is the distance between the tips of the hands changing at 9:00?
5. ### Cosine Law

The minute hand of a clock is 12 cm long, and the hour hand is 10cm long. Determine the distance between the tips of the hands at 9:30pm, to the nearest mm.
6. ### pre calculus

The minute hand and the hour hand of a clock have lengths inches and inches, respectively. Determine the distance between the tips of the hands at 10:00 in terms of and m h.
7. ### math

a clock has two hands that are 12cm and 15cm in length what is the distance of the tips when the hands are exactly at 2:00?
8. ### Differential Calculus

A clock has hands 1 and 1 3/5 inches long respectively. At what rate are the ends of the hands approaching each other when the time is 2 o'clock?
9. ### Calculus

The minute and hour hands on the face of a school clock are 8 inches and 6 inches long, respectively. Find the rate of change, in inches per minute, of the distance between the tips of the hands at 9:00.
10. ### Algebra 2

Neela's clock is broken the minute hand rotates around the clock correctly but the hour hand is stuck in the three o'clock position. Suppose neela first looks at the clock when the hands are aligned and it shows 3:15. She looks at …

More Similar Questions