Respuesta :

Answer:

C

Step-by-step explanation:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \\ \sec( \alpha ) = \frac{1}{ \frac{ad}{hip} } \\ \\ \sec( \alpha ) = \frac{hip}{ad} \\ \\ \sec( \alpha ) = \frac{41}{40} [/tex]

The value of the secθ is 41/40.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The sides of the right-angled triangle are

Hypotenuse side = 41 ft

Opposite side = 9 ft

Adjacent side = 40 ft

The value of secθ is

[tex]sec \theta =\frac{1}{cos \theta}[/tex]

where, [tex]cos \theta =\frac{adjacent}{hypotenuse}[/tex]

⇒ [tex]sec \theta =\frac{hypotenuse}{adjacent}[/tex]

⇒ [tex]sec \theta =\frac{41}{40}[/tex]

Hence we can conclude that the value of the secθ is 41/40.

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