We use tan ratio to solve this problem. Look into my attachment for better understanding.
tan x = the side in front of the angle/ the side adjacent to the angle
tan x = 50/75
tan x = 2/3
x = tan⁻¹(2/3)
x = 33,69
x is approximately 34°
The central angle COA = 2 * angle at the circumference
m < COA = 2 * 80 degrees
If B is the midpoint of ZA, then ZB = <span>BA
</span>3x-5 = <span>x+3
3x - x = 3 + 5
2x = 8
x = 8/2
x = 4
</span>ZA = ZB + BA
= 3x-5 + x+3
= 3*4 - 5 + 4 + 3
= 12 - 5 + 7
= 14
Answer: <span>D. 14</span>
The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
<h3>How to find Complex Trigonometric numbers?</h3>
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
Read more about Trigonometric Complex numbers at; brainly.com/question/12517327
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