Question

Given that x = 7.7 m and 0 = 30°, work out AC rounded to 3 SF The diagram is not drawn accurately.​

Answer 1

`AC=15.4`

Explanation:

In relation to the angle
`\theta`, we are given the triangle's opposite side and hypotenuse. Therefore, we need to use the sine function to determine the hypotenuse:

`sin\theta=(opposite)/(hypotenuse)`

`sin30^\circ=(7.7)/(h)`

`hsin30^\circ=7.7`

`h=(7.7)/(sin30^\circ)`

`h=15.4`

Alternatively, since this is a 30-60-90 triangle, you can just multiply the opposite side by 2 to get the hypotenuse. Therefore,
`h=7.7*2=15.4` as well.

Answer 2

we have 30 60 90 triangle

90 meet 2x

30 meet x

60 meet x√3

so AC= 2×7.7 which means its equal to 15.4