Question

Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths

Answer 1

Answer:

Tangent B = eight-sixths

Step-by-step explanation:

Data

• AB: 6 units

• AC: 8 units

From tangent definition:

tan(β) = opposite/adjacent

where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.

In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:

tan(B) = AC/AB

tan(B) = 8/6