Answer:
[tex] BC = 15.01 [/tex]
Step-by-step explanation:
Angle A is given.
For angle A, BC is the opposite leg.
For angle A, AC is the adjacent leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
In general, for angle X,
[tex] \tan X = \dfrac{opp}{adj} [/tex]
In our problem,
[tex]\tan A = \dfrac{BC}{AC}[/tex]
[tex] \tan 65^\circ = \dfrac{BC}{7} [/tex]
[tex] BC = 7 \tan 65^\circ [/tex]
[tex] BC = 15.01 [/tex]
