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

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 3 class=

Respuesta :

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 )