Use the inverse of tangent to solve for the approximate angle measure of vertex C, rounded to the nearest whole degree. A 59 degrees B. 53 degrees C. 39 degrees D. 37 degrees
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Answer:
∠ C ≈ 37°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan C = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{9}{12}[/tex] , then
∠ C = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{12}[/tex] ) ≈ 37° ( to the nearest whole degree )