Answer:
x ≈ 56°
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 8 and A = 48, thus
[tex]\frac{1}{2}[/tex] × 8 × h = 48, that is
4h = 48 ( divide both sides by 4 )
h = 12
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{8}[/tex], thus
x = [tex]tan^{-1}[/tex]( [tex]\frac{12}{8}[/tex] ) ≈ 56° ( to the nearest degree )
