Question

The value of tan θ in the given triangle is

• A. $\frac{3}{5}$
• B. $\frac{5}{3}$
• C. $1\frac{1}{3}$
• D. $1\frac{2}{5}$

Answer 1

The correct option is C

$1\frac{1}{3}$

In triangle ABC, Using Pythagoras theorem,

AC² = AB² + BC²

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

$BC=\sqrt{{10}^2-8^2}=\sqrt{100-64}=\sqrt{36}=6$

$tan\theta =\frac{Oppositeside}{Adjacentside}$

$\Rightarrow tan\theta =\frac{AB}{BC}=\frac{4}{3}=1\frac{1}{3}$