Question

suppose you are headed toward a plateau 58 meters high if the angle of elevation to the top of the plateau is 20° how far are you from the base of the Plateau​

Answer 1

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:

$\frac{a}{Sin \ A}=\frac{b}{Sin \ B}\\\\\frac{58}{Sin \ 20\textdegree}=\frac{x}{Sin \ 70 \textdegre}\\\\x=Sin \ 70\textdegree\times 58/Sin \ 20\textdegree\\\\=159.35\ m$

Hence, the distance to the base is 159.35 meters