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Karolina [17]
2 years ago
7

I dont understand this

Mathematics
1 answer:
Ganezh [65]2 years ago
5 0

Answer:

x = 8.3 is the value of x.

Step-by-step 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 = \frac{BC}{AB}\\\\\cos 44 = \frac{6}{x}\\\\0.719=\frac{6}{x}\\\\\therefore x=\frac{6}{0.719} \\\\\therefore x=8.3......(nearest\ tenth)

The value of x is

x = 8.3

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