Respuesta :

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.

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