Answer:
159.35 meters
Step-by-step explanation:
-We use the law of Sines to calculate the distance to the plateau's base.
-The angle of depression (90-20=70°) corresponds to this distance:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}\\\\\frac{58}{Sin \ 20\textdegree}=\frac{x}{Sin \ 70 \textdegre}\\\\x=Sin \ 70\textdegree\times 58/Sin \ 20\textdegree\\\\=159.35\ m[/tex]
Hence, the distance to the base is 159.35 meters
