Step-by-step explanation:
Use ToA method (tan = opposite / adjacent)
For this question we have to use pythagoras' Theorem to find the adjacent side.
take a as the length of the adjacent side.
given b = 12
c = 13
By pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {13}^{2} - {12}^{2} \\ {a}^{2} = 169 - 144 \\ {a}^{2} = 25 \\ a = \sqrt{25} \\ = 5[/tex]
Now we can find tan(x)
tan(x) = Opposite / adjacent
[tex] = \frac{12}{5} [/tex]
