Answer:
0.60
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
According to the given data
∠D=90°, DC = 3, BD = 4, and CB = 5
DC is the opposite (since we are considering m<B)
BC is the hypotenuse
Tan theta = opposite/adjacent
Tan<B = DC/BC
Substitute
Tan<B = 3/5
Hence the value of the tangent of ∠B to the nearest hundredth is 0.60
