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`

Step-by-step explanation:

Using the trigonometric ratio for tangent,

`\begin{gathered} tan\theta=(Opp)/(Adj) \\ tan\theta=(b)/(a) \\ tan\theta=(3.2)/(2.4) \end{gathered}`

In decimal, we get

`tan\theta=1.333`

Finalanswer:

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