Question

Given the Right Angle How Do I Find X?

Answer 1

Given :-

• A right angled triangle with hypotenuse= 6 and perpendicular= 6 .
• One of the unknown angles is
  `x`.

To find:-

• The value of x.

Answer:-

Here we will make use of trigonometric ratios . As we know that in a right angled triangle,

`\sf \implies \sin\theta =(perpendicular)/(hypotenuse) \\`

And here ,

• perpendicular= 6
• hypotenuse= 10
• 
  `\theta = x`

So on substituting the respective values, we have;

`\sf \implies \sin x = (6)/(10) \\`

`\sf \implies \sin x = (3)/(5)\\`

`\sf \implies x = \sin^(-1)\bigg((3)/(5)\bigg)\\`

`\sf \implies x = 36.86^\circ\\`

`\sf \implies \underline{\underline{ x \approx 37^\circ}} \\`

Hence option A is the correct choice.

and we are done!