Answer:
6.6 cm
Step-by-step explanation:
The tangent function relates the 35° angle, the adjacent side 12 cm, and the unknown opposite side, x.
We can write tan 35° = opp / adj = x / (12 cm)
Multiplying both sides by 12 cm isolates (solves for) x:
(12 cm)(tan 35°) = x Note that 35° is equivalent to 0.6109 radians.
Thus, x = (12 cm)(0.5484) = 6.58 cm, or 6.6 to the nearest tenth.
