M19 | Maths Made Easy

# M19

Question: Find the length of the side marked $z$ (2 d.p.)

Answer: Here we’re dealing with the opposite and adjacent sides, so we need a formula with both of those in. This means we’ll have to use $\tan(x)=\frac{O}{A}$.

First we rearrange the formula: we’re after the adjacent so we want to make A the subject.

$A\times \tan(x)=O$

$A=\dfrac{O}{\tan(x)}$

Now we’ve made A the subject, we just need to plug in the values given.

$z=\dfrac{3.6}{\tan(52)}=2.81$km (2 d.p.)