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January 30, 2015

January 30, 2015

Posted by **Rose** on Tuesday, March 18, 2014 at 5:02am.

- trigonometry -
**Steve**, Tuesday, March 18, 2014 at 6:24amlet the plane of rotation of the minute hand be z=0. So, the location of the tip of the minute hand is

(9cosθ,9sinθ,0)

Similarly, the location of the tip of the hour hand is

(6cos θ/12,6sin θ/12,2)

at 5:40 am, θ = 2π/3, so θ/12 = π/18

So, the distance between the tips is

d^2 = (9cos 2π/3 - 6cos π/18)^2

+ (9sin 2π/3 - 6sin π/18)^2

+ 4

now just evaluate for d

- trigonometry -
**Steve**, Tuesday, March 18, 2014 at 6:27amoops. Forgot all those hours

θ = 2π*5 + 2π/3 = 10π + 2π/3 = 32π/3

For the minute hand, that's the same value as 2π/3

but, θ/12 is now 32π/36 = 8π/9

which affects its trig function values immensely.

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