Using the image as a reference, what is the csc of angle 90 - x?

Answer:
Option (F)
Step-by-step explanation:
Cosec of an angle is the ratio of Hypotenuse and Opposite side.
From the figure attached,
ΔABC is a right triangle.
m∠A + m∠B + m∠C = 180°
m∠A + 90 + x = 180
m∠A = 180° - (90 + x)°
= (90 - x)°
Now csc (90 - x)° = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
= [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the answer.