Respuesta :

Answer:

Option(1)

Step-by-step explanation:

By applying secant rule in the given right triangle,

secθ = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]

From the picture attached,

Opposite side of angle θ = 5 units

By applying Pythagoras theorem,

(Hypotenuse)² = (leg 1)² + (leg 2)²

                        = (10)² + 5²

                        = 125

Hypotenuse = √125

                     = 5√5

Now substitute these values in the expression of secθ,

secθ = [tex]\frac{5\sqrt{5}}{5}[/tex]

secθ = √5

Option (1) is the correct option.