In Ac (Alternating Current) Circuits, the Relationship Between the Impedance $\theta$

Multiple Choice

In ac (alternating current) circuits, the relationship between the impedance Z (in ohms) , the resistance R (in ohms) , the phase angle $\theta$ , and the reactance X (in ohms) is shown by the right triangle in the illustration.
a. Find the impedance if the resistance is 380 ? and the phase angle is 23 ^o. Round your answer to the appropriate number of significant digits.
b. Suppose the resistance is 520 ? and the impedance is $7 \overline { 0 } 0$ ? . What is the phase angle? Round your answer to the appropriate number of significant digits.
c. Suppose the reactance is 190 ? and the resistance is 220 ? . Find the impedance and the phase angle. Round your answers to the appropriate number of significant digits.

A) a. 410 ? , b. 42 ^o, c. 290 ? , 41 ^o
B) a. 330 ? , b. 41 ^o, c. 330 ? , 36 ^o
C) a. 700 ? , b. 42 ^o, c. 290 ? , 42 ^o
D) a. 700 ? , b. 41 ^o, c. 410 ? , 23 ^o
E) a. 290 ? , b. 23 ^o, c. 410 ? , 41 ^o