We can draw the following picture:
Since we have a right triangle with hypotenuse equal to 28ft, we can use the trigonometric function. That is, we can write the following relationships:
![\begin{gathered} \sin 30=(RG)/(28) \\ \text{and } \\ \cos 60=(RG)/(28) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1vovmggarnqxb3f7cjn7n6wwipeciafier.png)
both give the same result.
If we use the first one, we have
![\begin{gathered} RG=28\cdot\sin 30 \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/odgyqxb5vdcieumzp8ao5t2swfrg6eedj7.png)
since sin30=0.5, we have
![\begin{gathered} RG=28\cdot(0.5) \\ RG=14 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6v5ccj04r71rsc8gmetkbrx69txq71yx8o.png)
that is, RG = 14 ft, which corresponds to the first option