Question

timed problem
score: 0/10 current time: 2.5
find: tan b
the figure is not drawn to scale

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle B\), the opposite side is the side opposite to \(\angle B\) (length \(60\)) and the adjacent side is the side adjacent to \(\angle B\) (length \(45\)).

Step2: Calculate \(\tan B\)

\(\tan B=\frac{60}{45}\)
Simplify the fraction: \(\frac{60\div15}{45\div15}=\frac{4}{3}\)

Answer:

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