Answer:
[tex]Tan \ \angle C=\frac{3}{4}[/tex]
Step-by-step explanation:
-The sine of an angle in a right triangle is given as:
[tex]Sin \ \theta=\frac{Opposite}{Hypotenuse}\\\\\therefore Sin \ \angle A=\frac{3}{5}[/tex]
-From this Trigonometric ratio, we calculate the length of the adjacent as:
[tex]b^2+h^2=H^2\\\\b^2=5^2-3^2\\\\b^=4\\\\\therefore Adjacent=4[/tex]
We then calculate tan ∠C
[tex]Tan \ \ theta=\frac{Opposite}{Adjacent}\\\\Tan \ \angle C=\frac{3}{4}[/tex]
