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;

$sin \ \theta=\frac{opp}{hyp}$

Substituting $\theta=60^{\circ}$, $opp=x$ and $hyp=17$ in the above formula, we get;

$sin \ 60^{\circ}=\frac{x}{17}$

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

$sin \ 60^{\circ} \times 17=x$

Simplifying, we get;

$0.866 \times 17=x$

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