Question

1. tan a

b 40 a
|
|
|
c 50

a) 3/5 b) 5/3
c) 3/4 d) 4/3

Explanation:

Step1: Recall the tangent function formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)

Step2: Identify the sides relative to angle \(A\)

For \(\tan A\), the side opposite to angle \(A\) is \(BC = 30\), and the side adjacent to angle \(A\) is \(AB=40\)

Step3: Calculate \(\tan A\)

\(\tan A=\frac{BC}{AB}=\frac{30}{40}=\frac{3}{4}\)

Answer:

C. \(\frac{3}{4}\)