To answer this question, we will use the following diagram as reference:
To determine the tangent of θ, we have to find the value of x.
To find x, we use the Pythagorean theorem and get:
[tex]4^2=3^2+x^2.[/tex]
Therefore:
[tex]x=\sqrt{4^2-3^2}=\sqrt[]{7}.[/tex]
Therefore:
[tex]\tan \theta=\frac{3}{\sqrt[]{7}}.[/tex]
Answer:
[tex]\tan \theta=\frac{3}{\sqrt[]{7}}.[/tex]
