Question

Instructions: Find the missing side. Round your answer to the nearest

tenth.
16
51°
х
II

Answer 1

12.9

Explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x

Multiply both sides by x

x * Tan(51) = 16

Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.9

Answer 2

Explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x Multiply both sides by x

x * Tan(51) = 16 Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96