Consider the right triangle shown below. Suppose that tan(θ)=24/7 (the diagram above is not necessarily to scale).

y is how many times as large as x?

   

Not enough information.

What is the value of y?

y=

Not enough information.

What is the value of x?

x=  

Not enough information.

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The largest angle is opposite the side that measures 17.
We know all 3 sides so we will use the Law of Cosines
cosine (C) = (a^2 + b^2 -c^2) / 2ab
cosine (C) = ( 10^2 + 13^2 -17^2) / 2 * 10 * 13
cosine (C) = (100 + 169 -289) / 260
cosine (C) = -20 / 260
cosine (C) = -.0769230769
arc cosine (-.0769230769 ) = 94.412 Degrees

Source:
http://www.1728.org/trigtut2.htm