Question

Use the triangle to find the tan o. Write answer as an unsimplified fraction and as a decimal rounded to 3 decimal places.a = 2.4' b = 3.2' C= 4.0'

Answer 1

Given:

$\begin{gathered} a=2.4^{\prime} \\ b=3.2^{\prime} \\ c=4.0^{\prime} \end{gathered}$

To find:

$tan\theta$

Explanation:

Using the trigonometric ratio for tangent,

$\begin{gathered} tan\theta=\frac{Opp}{Adj} \\ tan\theta=\frac{b}{a} \\ tan\theta=\frac{3.2}{2.4} \end{gathered}$

In decimal, we get

$tan\theta=1.333$

Finalanswer:

$\begin{gathered} tan\theta=\frac{3.2^{\prime}}{2.4^{\prime}} \\ (or) \\ tan\theta=1.333 \end{gathered}$