For the given triangle, the tan of angle A equals
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 70°, the opposite side, AC's length is 9 inches. Assume the adjacent side BC's length is x inches. To determine the adjacent side's length, we determine the tan of the angle. To calculate the tan of an angle, we divide the opposite side's length by the adjacent side's length.
[tex]tanB= \frac{opposite side}{adjacent side}[/tex]
Step 2:
The length of the opposite side = 9 inches.
The length of the adjacent side = x cm.
[tex]tanB= \frac{opposite side}{adjacent side}, tan 70 = 2.7474, tan70 = \frac{9}{x} ,[/tex]
[tex]x = \frac{9}{tan70} = \frac{9}{2.7474} = 3.2758.[/tex]
So BC of the given triangle measures 3.2758 inches.
