nedy800
05.05.2020 •
Mathematics
You are about to attack a dragon in a role-playing game online. You will throw a pair of die. One die is numbered 1 -6. The other is a 20-sided Scattergories die with the letters A - T. What is the probability you will roll the number 1 and the letter G?
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Ответ:
your triangle is made of big circles on a sphere. In spherical trigonometry the law of sines is [Law of sines - Wikipedia]
sinA
sina
=
sinB
sinb
=
sinC
sinc
sinAsina=sinBsinb=sinCsinc
Your triangle is in the case 5,
aAB
aAB
, from [Spherical trigonometry - Wikipedia]. In this case you get
b
b
by the law of sines:
sinb=
sinBsina
sinA
sinb=sinBsinasinA
and apply case 7, which is solved as explained in the wikipedia page using Napier’s analogies.
else
it was a mistake and your triangle is in Euclidean geometry. The law of sines is then
sinA
a
=
sinB
b
=
sinC
c
sinAa=sinBb=sinCc
You find
C=
180
∘
−A−B
C=180∘−A−B
, then apply the law of sines to find
b
b
and
c
c
.
Step-by-step explanation: