Question

What is the value of x in this figure?

143√

282√

28

283√

Answer 1

The value of x is 28 units

Explanation:

Given a right angled triangle with one side 14 units and one angle 30°

we have to find the value of x

By trigonometric ratios

`\sin \theta=(Perpendicular)/(Hypotenuse)`

`\sin 30^(\circ)=(14)/(x)`

`(1)/(2)=(14)/(x)`

`x=14* 2=28 units`

Hence, the value of x is 28 units.

Option C is correct

Answer 2

Third option: 28

Explanation:

You need to remember the following identity:

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

In the right triangle shown in the figure, you can identify:

`\alpha=30\°\\opposite=14\\hypotenuse=x`

Then, you need to substitute the corresponding values into
`sin\alpha=(opposite)/(hypotenuse)`:

`sin(30\°)=(14)/(x)`

Now, you can solve for "x":

`xsin(30\°)=14\\\\x=(14)/(sin(30\°))\\\\x=28`