Question

4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =

Answer 1

`x=3.18`
`cm`

Step-by-step explanation:

`x=3.18`
`cm`

Substitute
`y=6 cm` into
`\frac{}{AC} =y:\frac{}{AC} =6cm`

Substitute
`0=32` into ∠
`CAB=0:` ∠
`CAB=32^o`

sinA=leg opposite ∠A/hypotenuse :
`sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }`

Substitute
`\frac{}{BC} =x,\frac{}{AC}=6cm,` ∠
`CAB=32^o`

into sin(∠
`CAB`)
`=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=(x)/(6)`

Calculate
`sin(32^o)=(x)/(6) :x=3.18cm`