Answer:
a = 7[tex]\sqrt{3}[/tex] , c = 14
Step-by-step explanation:
using the tangent and cosine ratios in the right triangle and the exact values
tan60° = [tex]\sqrt{3}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{7}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 7 )
a = 7[tex]\sqrt{3}[/tex]
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{7}{c}[/tex] = [tex]\frac{1}{2}[/tex] ( cross multiply )
c = 14
