If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?
a. 2
b. 4
c. 9
d. 10

The question is asking to choose among the following choices that states the possible value of b if the complex number x = 3+bi and |x|^2 = 13, base on that the answer would be a. 2. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications

 404.89 feet  

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation of the bird (B), the opposite side (x) is the length of the bird above the ground, and the adjacent side is the distance between the school (S) and the observer (O).

Replacing with the values given:  

Tan 39 = x/ 50 0

Solving for x  

tan39 (500) =x  

x= 404.89 feet  

Feel free to ask for more if needed or if you did not understand something.