Question

I dont understand this

Answer 1

x = 8.3 is the value of x.

Explanation:

Given:

Let Δ ABC be a Right angle Triangle at ∠ C = 90°

AB = x

BC = 6

m∠ B = 44°

To Find:

x = ?

Solution:

We apply Cosine Rule

{tex}\cos B = \frac{\textrm{side Adjacent to angle B}}{Hypotenuse} \\{/tex]

Substituting the given values we get

`\cos B = (BC)/(AB)\\\\\cos 44 = (6)/(x)\\\\0.719=(6)/(x)\\\\\therefore x=(6)/(0.719) \\\\\therefore x=8.3......(nearest\ tenth)`

The value of x is

x = 8.3