Question

express tan d as a fraction in simplest terms.
answer
attempt 1 out of 2
tan d =
(there is a right triangle with right angle at c, side bc is 28, side dc is 7, vertices labeled b, c, d)

Explanation:

Step1: Recall tangent definition

For angle $D$ in right $\triangle BCD$, $\tan D = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\tan D$

Opposite to $D$: $BC=28$, Adjacent to $D$: $CD=7$

Step3: Compute and simplify fraction

$\tan D = \frac{28}{7} = 4$

Answer:

$\tan D = 4$ or $\frac{4}{1}$