Answer:
Length of n will be 9.7 inches.
Step-by-step explanation:
From ΔNOP in the figure attached,
m∠N + m∠P + m∠O = 180° [Since sum of all interior angles of a triangle = 180°]
m∠N + 25° + 8° = 180°
m∠N = 180° - 33°
m∠N = 147°
Now we will apply Sine rule In the ΔNOP to get the value of side OP.
[tex]\frac{\text{SinP}}{ON}=\frac{\text{SinN}}{OP}[/tex]
[tex]\frac{\text{Sin25}}{7.5}=\frac{\text{Sin147}}{n}[/tex]
n = [tex]\frac{\text{Sin147}\times 7.5}{\text{Sin25}}[/tex]
n = 9.665
n ≈ 9.7 inches
Therefore, length of n will be 9.7 inches.
