Answer:
The angle measurement of a is 21.78°.
Step-by-step explanation:
Given : The triangle abc has a side lengths ac=13 and the hypotenuse ab=14.
To find : Whats the angle measurement of a ?
Solution :
In triangle abc,
The side length is the adjacent side of the angles a i.e. base = ac=13
The hypotenuse is ab=14.
Apply trigonometry in triangle abc,
[tex]\cos\theta=\frac{B}{H}[/tex]
[tex]\cos\theta=\frac{ac}{ab}[/tex]
[tex]\cos\theta=\frac{13}{14}[/tex]
[tex]\theta=\cos^{-1}(\frac{13}{14})[/tex]
[tex]\theta=21.78[/tex]
Therefore, the angle measurement of a is 21.78°.
