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.
