Identify the polar form of a number graphed:
A. (7, pi/6)
B. (7, -pi/6)
C. (-7, 11pi/6)
D. (7, 5pi/6)

  B. (7, -pi/6)

Step-by-step explanation:

The angle marked on the graph (11π/6) is equivalent to -π/6. Generally, we want to write polar coordinates with a positive radius, but a negative number can be used by adding π to the angle. The number could be written as any of ...

  (7, 11π/6), (-7, 5π/6), (7, -π/6), (-7, -7π/6) and an infinite number of others with multiples of 2π added to the angles.

Of these possibilities, the only one offered as an answer choice is ...

  (7 -π/6) . . . . . choice B

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2