Answer:
BC = 9.6 mi
Explanation:
Given:
AB = 6mi
angle A = 58°
To find:
the value of BC
To determine the value of BC, we will apply tan ratio (TOA):
[tex]tan\text{ 58\degree = }\frac{opposite}{adjacent}[/tex]
opposite = BC
adjacent = 6 mi
[tex]\begin{gathered} tan\text{ 58\degree = }\frac{BC}{6} \\ BC\text{ = 6\lparen tan 58\degree\rparen} \end{gathered}[/tex][tex]\begin{gathered} BC\text{ = 6 }\times\text{ 1.6003} \\ BC=\text{ 9.602} \\ To\text{ the nearest tenth, BC = 9.6 mi} \end{gathered}[/tex]
