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

159.35 meters

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:

`(a)/(Sin \ A)=(b)/(Sin \ B)\\\\(58)/(Sin \ 20\textdegree)=(x)/(Sin \ 70 \textdegre)\\\\x=Sin \ 70\textdegree* 58/Sin \ 20\textdegree\\\\=159.35\ m`

Hence, the distance to the base is 159.35 meters