Question

What is the value of tan θ in the given triangle?

• A. $\frac{3}{5}$
• B. $\frac{4}{3}$
• C. $\frac{5}{3}$
• D. $\frac{4}{5}$

Answer 1

The correct option is B

$\frac{4}{3}$

tanθ = $\frac{Oppositeside}{Adjacentside}$

But the adjacent side is not given.

Using Pythagoras theorem,

AC² = AB² + BC²

BC = $\sqrt{A{C}^2-A{B}^2}$ = 6

tanθ =$\frac{AB}{BC}$ = $\frac{4}{3}$