For this case, we must find the triangle whose value of x is given by 17.
In all three cases, the value of the variable "x" is given by:
[tex]Tangent (angle) = \frac {leg \ opposite} {leg \ adjacent}\\Where,\ x = leg \ opposite\\x = Tangent (angle) * (leg \ adjacent)[/tex]
Triangle 1:
[tex]x = Tangent (50) * (12)\\x = 1.19175359 * 12\\x = 14.30104308[/tex]
Triangle 2:
[tex]x = Tangent (80) * (3)\\x = 5.67128182 * 3\\x = 17.01384546[/tex]
Triangle 3:
[tex]x = Tangent (60) * (4)\\x = 1.73205081 * 4\\x = 6.92820324[/tex]
Thus, the triangle whose value of x is 17 is triangle 2.
Answer:
Option b
