Respuesta :

Answer:

6

Step-by-step explanation:

The given triangle with the angle of 60 and a side of 6ft has another length EF is 7.48 ft.

When finding the third side of a scalene triangle, use Law of Cosine with its formula

What is the low of the cosine formula?

[tex]c^2 = A^2+B^2 - 2AB(cosC)[/tex]

Now, you just have to input all your data in the formula,

[tex]c^2 = 6^2+11^2 - 2(6)(11)(cos40^0)\\c^2 = 36+121 - 2(6)(11)(cos40^0)\\c^2 = 36+121 - 2(6)(11)(0.77)\\c^2 = 157 - 101.12\\c^2 = 55.88[/tex]

c = square root of 55.88

c = 7.48 ft

The given triangle with the angle of 60 and a side of 6ft has another length EF is 7.48 ft.

To learn more about the triangle visit:

https://brainly.com/question/17335144

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