For the given triangle, the tan of angle A equals C. [tex]\frac{5}{12}[/tex].
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
cos A = [tex]\frac{oppositeside}{adjacentside}[/tex].
Step 2; The opposite side's length = 15 units,
The adjacent side's length = 36 units.
cos A = [tex]\frac{15}{36}[/tex], dividing the numerator and the denominator by 3, we get
cos A = [tex]\frac{5}{12}[/tex], which is option C.
