Answer:
Therefore,
[tex]AB=16.25\ units[/tex]
The Measurement of AB is 16.25 units.
Step-by-step explanation:
In Right Angle Triangle ABC
m∠C=90°
AC = 10.01 .....(Adjacent Side to angle A)
m∠A=52°
cos 52 ≈ 0.616
To Find:
AB = ? (Hypotenuse)
Solution:
In Right Angle Triangle ABC, Cosine Identity,
[tex]\cos A= \dfrac{\textrm{side adjacent to angle A}}{Hypotenuse}\\[/tex]
Substituting the values we get
[tex]\cos 52= \dfrac{AC}{AB}=\dfrac{10.01}{AB}[/tex]
But cos 52 ≈ 0.616 ....Given
[tex]AB=\dfrac{10.01}{0.616}=16.25\ units[/tex]
Therefore,
[tex]AB=16.25\ units[/tex]
The Measurement of AB is 16.25 units.
