Question

BRGis a 30° -60°-90° triangle. The hypotenuse of BRGhas a length of 28 feet and m

Answer 1

As per given by the question,

There are given that a right angle trinfle BRG.

Now,

From the tringle BRG, the hypotenuse is 28 ft, and angle B is 30 degree.

To find the length RG, first let RG is x.

Now,

Here find the value of x, use sine trigonometric function.

So,

$\sin 30^{\circ}=\frac{RG}{BG}$

Then,

Put the value 28 for BG and x for RG.

So,

$\begin{gathered} \sin 30^{\circ}=\frac{RG}{BG} \\ \sin 30^{\circ}=\frac{x}{28} \\ \frac{1}{2}=\frac{x}{28} \\ 2x=28 \end{gathered}$

Now,

$\begin{gathered} 2x=28 \\ x=\frac{28}{2} \\ x=14\text{ ft} \end{gathered}$

Hence, the option first is correct.