if a 6 foot vertical rod casts a shadow 15 feet long, how high is a flagpole that casts a shadow 60 feet long? i know this is multiplication, but i don't know how to set it up. 10 feet?
Use a proportion. Cross multiply and solve for x.
6/15 = x/60
i got 24. thank u
Right.
And you're welcome.
a women is 150 cm tall and she casts a shadow 3 m long. the shadow of a telephone pole is 30 m long. how tall is the telephone pole?
To solve this problem, we can use the concept of proportions. The length of the shadow is proportional to the height of the object casting the shadow. This means we can set up a proportion between the height of the rod and the length of its shadow, as well as between the height of the flagpole and the length of its shadow.
Let's set up the proportion for the vertical rod:
Height of vertical rod / Length of vertical rod's shadow = Height of flagpole / Length of flagpole's shadow
Now, let's plug in the given values:
6 feet / 15 feet = Height of flagpole / 60 feet
To solve for the height of the flagpole, we need to isolate the variable. We can cross-multiply:
6 feet * 60 feet = 15 feet * Height of flagpole
360 feet = 15 feet * Height of flagpole
Next, divide both sides of the equation by 15 feet:
(360 feet) / (15 feet) = Height of flagpole
This simplifies to:
24 = Height of flagpole
So, the height of the flagpole is 24 feet, not 10 feet as you initially guessed.