Respuesta :

[tex] \boxed {\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}} [/tex]

[tex] \tan(67 \textdegree) = \dfrac{x}{16} [/tex]

Cross Multiply:

[tex] x = 16\tan(67 \textdegree) [/tex]

[tex] x = 37.7 \text{ units (nearest tenth)} [/tex]

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Answer: 37.7 units

Given:

m<67

Adjacent side = 16

Step One

Set up the proper trig function.

Tan(67) = opposite / adjacent

Substitute and solve

Tan(67) = 2.356

adjacent = 16

2.356 = x / 16 Multiply both sides by 16

2.356 * 16 = x

x = 37.694 <<<<< Answer