Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
The measure of ∠B:
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
[tex]sin B=\frac{opp}{hyp}[/tex]
where [tex]opp=AC[/tex] and [tex]hyp=AB[/tex]
Substituting, we get;
[tex]sin B=\frac{AC}{AB}[/tex]
Substituting the values, we get;
[tex]sinB=\frac{10}{17}[/tex]
[tex]sin B=0.588[/tex]
Taking [tex]sin^{-1}[/tex] on both sides of the equation, we have;
[tex]B=sin^{-1}(0.588)[/tex]
[tex]B=36.015^{\circ}[/tex]
Rounding off to the nearest tenth, we get;
[tex]B=36.0^{\circ}[/tex]
Hence, the measure of ∠B is 36.0°
