Question

PLEAAASSEEE help Pre Calc:
thank you so much picture posted below
xoxo vvv

Answer 1

you first have to use the pythagorean theorem to find the length of AB

Answer 2

AC^2 + BC^2 = AB^2

36^2 + 24^2 = x^2

1296 + 576 = x^2

keep going to solve for x

Answer 3

x=+/- 12 to the power of 13

Answer 4

@jim_thompson5910

Answer 5

you mean \[\Large x = \pm 12\sqrt{13}\] right?

Answer 6

yes :) @jim_thompson5910

Answer 7

since AB is the length and x is the length, we only consider positive lengths

so \[\Large x = 12\sqrt{13}\]

which means \[\Large AB = 12\sqrt{13}\]

Answer 8

now use the definition of sine, plug in the lengths, and simplify

sin(angle) = opposite/hypotenuse

sin(A) = 24/(12*sqrt(13))

sin(A) = 2/(sqrt(13))

sin(A) = (2*sqrt(13))/(sqrt(13)*sqrt(13))

sin(A) = (2*sqrt(13))/(13)

Answer 9

ughhh thank you so much! FINALLY I understand this nonsense.

Answer 10

that's great