Respuesta :

The measurement of AB is 16.23.

Solution:

Given ACB is a right angled triangle.

AC = 10, ∠C = 90° and ∠A = 52°.

cos θ ≈ 0.616

Here AC is the base and AB is Hypotenuse.

To find the length of AB:

[tex]$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}[/tex]

[tex]$\cos 52^\circ=\frac{10}{AB}[/tex]

[tex]$0.616=\frac{10}{AB}[/tex]

Do cross multiplication, we get

[tex]$AB=\frac{10}{0.616}[/tex]

AB = 16.23

Hence the measurement of AB is 16.23.

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