Answer:
Option (F)
Step-by-step explanation:
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)°
By applying cosec rule in this triangle,
csc(A) = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
csc(90 - x) = [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the correct option.
