Question

The airplane in the scale drawing 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?

Answer 1

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

$1\ inch = 5\ feet$

That means

1 inch in the drawing represent 5 feet in the actual

we have

$\frac{a}{b}=3$ ----> equation A

$b=2\ in$

step 1

Find the value of a in the drawing

substitute the value of b in the equation A

$\frac{a}{2}=3\\\\a=2(3)=6\ in$

step 2

Find the actual value of a (wingspan)

Applying proportion with the scale drawing

$\frac{1}{5}\ \frac{in}{ft} =\frac{6}{x}\ \frac{in}{ft}\\\\x=6(5)=30\ ft$

therefore

The actual wingspan of the airplane is 30 feet