Question

Pls help i really really need it, the question is on the picture

Answer 1

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,

${c}^{2} = {a}^{2} + {b}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {13}^{2} - {12}^{2} \\ {a}^{2} = 169 - 144 \\ {a}^{2} = 25 \\ a = \sqrt{25} \\ = 5$

Now we can find tan(x)

tan(x) = Opposite / adjacent

$= \frac{12}{5}$