Question

find the tangent of ∠d.
e
70
74
c
24
d
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(d) =

Explanation:

Step1: Identify right triangle sides

In right $\triangle ECD$, $\angle C=90^\circ$. For $\angle D$:

• Opposite side: $EC = 70$
• Adjacent side: $CD = 24$

Step2: Apply tangent definition

Tangent of an angle is $\frac{\text{opposite}}{\text{adjacent}}$.
$\tan(D) = \frac{70}{24}$

Step3: Simplify the fraction

Divide numerator and denominator by 2.
$\tan(D) = \frac{35}{12}$

Answer:

$\frac{35}{12}$