Given:
m∠R = 90°
m∠Q = 6°
PQ = 2.2 ft
RP = x
To find:
The length of RP.
Solution:
Using basic trigonometric formula:
[tex]$\sin \theta =\frac{\text{Opposite of} \ \theta}{\text{Hypotenuse}}[/tex]
[tex]$\sin 6^\circ =\frac{x}{2.2}[/tex]
[tex]$0.1=\frac{x}{2.2}[/tex]
Multiply by 2.2 on both sides.
[tex]$0.1\times2.2=\frac{x}{2.2}\times2.2[/tex]
[tex]$0.22=x[/tex]
[tex]$0.2=x[/tex] (nearest tenth)
The length of RP is 0.2 feet.
