# Math

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?

1. 👍
2. 👎
3. 👁
1. 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

1. 👍
2. 👎
2. oops I was thinking 2:10

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

d = 5.3 cm

1. 👍
2. 👎

## Similar Questions

1. ### math algebra

at how many minutes after 3pm will the minute hand of a clock overtake the hour hand?

2. ### math

What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48?

3. ### algebra

Which set represents a Pythagorean triple? 27, 38, 42 33, 44, 55 35, 38, 42 68, 72, 81 Which number completes the Pythagorean triple: 12, 16, ____? 18 20 22 24 A base ball diamond is square. The distance from home plate to first

4. ### 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

1. ### ALGEBRA

it is now between 3 and 4 o'clock and in 20 minutes the minute hand will be as much ahead of the hour hand as it is now behind it. what is the time now? please help me. Godblesss you

2. ### Math

A certain slow clock loses 15 mins every hour. Suppose the clock is set to the correct time at 9 AM. What will the correct time be when the slow clock first shows 10 AM? Show your work. Also, does to lose an hour mean to go

3. ### 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?

4. ### math

what is the smaller angle between the hour and the minute hand of the clock at 12:20.

1. ### trig

The minute hand of a clock is 7 inches long and moves from 12 to 11 ​o'clock. How far does the tip of the minute hand​ move? Express your answer in terms of pi and then round to two decimal places.

2. ### trigonometry

a clock has a dial face of 12 inches radius the minute hand is 9 inches while the hour hand is 6 inches the plane of rotation of the hour hand is 2 inches above the plane of rotation of the minute hand. Find the distance between

3. ### math

A grandfather clock shows a time of 7 o’clock. What is the exact radian measure of the angle between the hour hand and the minute hand? how is it calculated?*

4. ### physics

Consider the motion of the tip of the minute hand of a clock. In one hour, the displacement and average velocity is .......