Answer:
The actual wingspan of the airplane is 30 feet
Step-by-step explanation:
The complete question is
The airplane has a wingspan of a feet and a tailspan of b feet. If the tailspan in the drawing is 2 inches, and a/b = 3, what is the actual wingspan of the airplane?
Scale: 1 inch = 5 feet
we know that
The scale drawing is
[tex]1\ inch = 5\ feet[/tex]
That means
1 inch in the drawing represent 5 feet in the actual
we have
[tex]\frac{a}{b}=3[/tex] ----> equation A
[tex]b=2\ in[/tex]
step 1
Find the value of a in the drawing
substitute the value of b in the equation A
[tex]\frac{a}{2}=3\\\\a=2(3)=6\ in[/tex]
step 2
Find the actual value of a (wingspan)
Applying proportion with the scale drawing
[tex]\frac{1}{5}\ \frac{in}{ft} =\frac{6}{x}\ \frac{in}{ft}\\\\x=6(5)=30\ ft[/tex]
therefore
The actual wingspan of the airplane is 30 feet
