If a 40 ft tall flagpole casts a 256 ft long shadow then how long is the shadow that a 6 ft tall woman casts? feet

38.4 ft

Step-by-step explanation:

Basically, draw out your two Situations like I have did.

Then find the scale factor by doing 6/40.

Multiply the SF by 256 to get X, or the shadow of the woman.

The screenshot provided shows the drawings.

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet