Question

CD, the measure of ∠D=90°, DC = 3, BD = 4, and CB = 5. What is the value of the tangent of ∠B to the nearest hundredth?

Answer 1

0.60

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