Respuesta :

Answer:

x = 13.77

Step-by-step explanation:

cos 37° = 11/x

0.7986 = 11/x

0.7986x = 11

x = 11/0.7986

x = 13.77

The value of the hypotenuse x will be 14.37.

What will be the value of the hypotenuse?

Here in the triangle, it is given that

The angle between base and hypotenuse = [tex]37^0[/tex]

The base =11

So from the property

[tex]COS\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]Cos37=\dfrac{11}{x}[/tex]

[tex]x=\dfrac{11}{0.7654}[/tex]

[tex]x=14.37[/tex]

Thus the value of the hypotenuse x will be 14.37.

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