a flagpole cast a shadow that is 26ft long. At the same time, a yardstick cast a shadow that is 4ft long. How tall is the flagpole
Use a proportion, cross multiply and solve for x.
3/4 = x/26
To find the height of the flagpole, we can set up a proportion using the lengths of the flagpole's shadow and the yardstick's shadow.
Let's assign variables to the unknowns:
Let h be the height of the flagpole (in feet).
The proportion we can set up is:
flagpole's height / flagpole's shadow = yardstick's height / yardstick's shadow
Using the given information:
h / 26ft = 1 yard / 4ft
Since 1 yard is equal to 3 feet, we can convert the yardstick's height to feet:
h / 26ft = 3ft / 4ft
To solve the proportion and find h, we can cross-multiply and then divide:
4ft * h = 26ft * 3ft
4h = 78
h = 78 / 4
h = 19.5
Therefore, the height of the flagpole is 19.5 feet.