A clock with a radius of 15 cm has an 11 minute hand on a 7cm hour hand. How far apart are the tips of the hands at 3:30.

Hint: you use the sine or cosine law to solve this

Question

A clock with a radius of 15 cm has an 11 minute hand on a 7cm hour hand. How far apart are the tips of the hands at 3:30.

Hint: you use the sine or cosine law to solve this

radar · Answer

It would appear that the angle included between the hour and the minute hand at 3:30 would be 75 degrees  2.5/12 X (360) degrees = 75 degrees.

You now have the included angle of 75 degrees, with one side being 11 the other being 7, you can find the third side which is the desired answer

radar · Answer

$$c ^{2}=7^{2}+11^{2}-2(7)(11)\cos 75^{0}$$

radar · Answer

$$c ^{2}=49+121-(2)(7)(11)(.2588)$$
$$c ^{2}=170-39.8552$$
$$c ^{2}=130.1448$$
$$c=11.408 cm$$

radar · Answer

Check for errors lol