Question

find the tangent of ∠j.
h
60
i
32
68
j
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(j) =

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle J$

Opposite side to $\angle J$ is $HI=60$, adjacent side is $JH=32$.
$\tan(J) = \frac{60}{32}$

Step3: Simplify the fraction

$\frac{60}{32} = \frac{15}{8}$

Answer:

$\frac{15}{8}$