Answer:
Step-by-step explanation:
1) PQ² + PR² = QR²
PQ² + 14² = 50²
PQ² + 196 = 2500
PQ² = 2500 - 196 = 2304
PQ = √2304
PQ = 48
Sin Q = [tex]\frac{opposite side}{hypotenuse}=\frac{14}{50}\\[/tex]
[tex]Cos Q = \frac{adjacent side}{hypotenuse}=\frac{48}{50}\\\\Tan Q = \frac{oppsite}{adjacent}=\frac{14}{48}\\\\\\\Sin R = \frac{48}{50}\\\\Cos R = \frac{14}{50}\\\\Tan R = \frac{48}{14}\\\\[/tex]
2) tan 48 = [tex]\frac{x}{17}[/tex]
x = 17 * tan 48 = 17 * 1.1106 = 18.8802
x = 18.8802
