Question

If the cos of angle x is 8/17 and the triangle was displayed to be two times big as the original what would be the value of the cos of x for the dilated triangle

Answer 1

Answer: The value of cos(x) of the dilated triangle would be exactly the same as in the first triangle, cos(8/17).

The cosine ratio is a ratio of two sides. 

In the first triangle the ratio is 8/17.

In the second triangle the ratio is 16/34. This could be reduced back to 8/17 which would produce the same cosine value.

Answer 2

The value of cos of angle x of the dilated triangle would be exactly the same as in the first triangle cos (8/17).

How does dilation work?

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1)

The cosine ratio is a ratio of the two sides.

We have been given If the cos of angle x is 8/17 and the triangle was displayed to be two times big as the original.

In the first triangle, the ratio is 8/17.

In the second triangle, the ratio is 16/34.

The second triangle could be reduced back to 8/17 which produces the same cosine value.

Learn more about dilation ;

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