Answer:
B° = 46°
b = 23.8
c = 33.1
given:
- opposite: 23
- hypotenuse: c
- adjacent: b
- angle: 44°
Lets find B:
B + 90° + 44° = 180°
B = 180° - 134°
B = 46°
Lets find c:
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotenuse}[/tex]
[tex]\sf hypotenuse= \dfrac{23}{sin(44)}[/tex]
[tex]\sf hypotenuse= 33.1[/tex]
Lets find b:
using tan rule:
[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]
[tex]\sf adjacent = \dfrac{23}{tan(44)}[/tex]
[tex]\sf adjacent =23.8[/tex]
