Question

In ΔBCD, the measure of ∠D=90°, CB = 37, BD = 12, and DC = 35. What is the value of the tangent of ∠B to the nearest hundredth?

Answer 1

0.95

Explanation:

Answer 2

The tangent of angle B is 35/12, which is 2.92 approximately.

Explanation:

The tangent of angle B is defined as

`tanB=(35)/(12)`

Because is the quotient between the opposite leg and the adjacent leg.

Now, we just need to divide the fraction to obtain the result.

`tanB \approx 2.92`

Therefore, the tangent of angle B is 35/12, which is 2.92 approximately.