Question

T of

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
m
n=
17
m
n
30°
?

Answer 1

(i)
`m = 34`
(ii)
`n = 17√(3)`

Explanation:

`sin 30 = (17)/(m) \\\\sin 30 = (1)/(2)`

∴
`(17)/(m) = (1)/(2)\\\\cross multiplying:\\\\m = 34`


`cos 30 = (n)/(m) = (n)/(17) \\\\ cos 30 = (√(3) )/(2) \\\\`
∴
`(n)/(17) = (√(3) )/(2) \\\\cross multiplying: \\2n = 34√(3)`

∴
`n = 17√(3)`