If the area of a triangle is 48, what is the value of x to the nearest degree?

x ≈ 56°

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = bh ( b is the base and h the height )

Here b = 8 and A = 48, thus

× 8 × h = 48, that is

4h = 48 ( divide both sides by 4 )

h = 12

Using the tangent ratio in the right triangle

tan x = = , thus

x = ( ) ≈ 56° ( to the nearest degree )

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