Question

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

Answer 1

Answer:

x ≈ 56°

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 8 and A = 48, thus

$\frac{1}{2}$ × 8 × h = 48, that is

4h = 48 ( divide both sides by 4 )

h = 12

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{12}{8}$, thus

x = $tan^{-1}$( $\frac{12}{8}$ ) ≈ 56° ( to the nearest degree )