Question

Please help, I’m really confused

Answer 1

Given:

The given triangle is a right angled triangle.

The length of the hypotenuse is 17 units.

One of the legs of the triangle measure x units.

The one of the angles of the right triangle is 60°

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

`sin \ \theta=(opp)/(hyp)`

Substituting
`\theta=60^(\circ)`,
`opp=x` and
`hyp=17` in the above formula, we get;

`sin \ 60^(\circ)=(x)/(17)`

Multiplying both sides of the equation by 17, we get;

`sin \ 60^(\circ) * 17=x`

Simplifying, we get;

`0.866 * 17=x`

Multiplying, we get;

`14.722=x`

Rounding off to the nearest tenth, we get;

`14.7=x`

Thus, the value of x is 14.7