Question

Determine the value of x. images attached.

Answer 1

The answer is option A

Explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

Using sine we have

`\sin(30) = (5)/(x) \\ x \sin(30) = 5 \\ x = (5)/( \sin(30) ) \\ x = (5)/(0.5) \\ \\ \\ \boxed{x = 10}`

Using cosine we have

`\cos(60) = (5)/(x) \\ x \cos(60) = 5 \\ x = (5)/( \cos(60) ) \\ x = (5)/(0.5) \\ \\ \\ \boxed{x = 10}`

Hope this helps you