Answer:
Therefore Length of PQ is 48.9 foot.
Step-by-step explanation:
Given:
In Triangle PQR,
∠R = 90°
∠P = 51°
QR = 38 feet = side opposite to angle P
To Find:
PQ = ? = Hypotenuse
Solution:
In Right angle Triangle PQR Cosine Identity we get,
[tex]\sin P = \dfrac{\textrm{side opposite to angle P}}{Hypotenuse}\\[/tex]
Substituting the values we get,
[tex]\sin 51 = \dfrac{QR}{PQ}=\dfrac{38}{PQ}\\\\0.7771=\dfrac{38}{PQ}\\\\PQ=\dfrac{38}{0.7771}=48.899\\\\\therefore PQ=48.9\ foot[/tex]
Therefore Length of PQ is 48.9 foot.
