Question

Please help me solve this

Answer 1

`~~~~~\sin 30^(\circ) = (x)/(6)\\\\\implies \frac 12 = \frac x6\\\\\implies x = \frac 62 \\\\\implies x= 3.0~ \text{cm}`

Answer 2

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The question can be easily solved applying trigonometry ~

We know that ,

`\bold{ \sin(\theta) = (perpendicular)/(hypotenuse)} \\`

• Given - θ = 30° and hypotenuse = 6cm

• To find - the perpendicular , i.e. , value of x

Substituting the values in the formula of sin θ

`\sin(30\degree) = (x)/(6) \\`

now , we know that sin 30° = 1/2

`\therefore \: \implies (1)/(2) = (x)/(6) \\`

on cross multiplying ,

`\implies \: 2x = 6 \\`

dividing both sides of the equation by 2 ,

`\implies \: \cancel (2x)/(2) = \cancel(6)/(2) \\ \\ \implies \: \boxed{x = 3 \: cm}`

hope helpful ~