if a flagpole is 20ft tall and casts a shadow of 27ft how tall is a building that casts a shadow of 185ft? write a proportion and solve. round your answer to the nearest foot.
20/27 = x/185
Cross multiply and solve for x.
137.77
a FLAG POLE IS 20 FEET TALL. AT 4PM. IT CASTS A SHADOW THAT IS 15 FEET LONG. hOW FAR IS IT FROM THE TOP OF THE FLAGPOLE TO THE END OF THE SHADOW?
To solve this problem, we can set up a proportion relating the heights of the flagpole and the building to the lengths of their respective shadows.
Let's represent the height of the building as "x" and the length of its shadow as 185 ft.
The proportion would then be:
20 ft / 27 ft = x / 185 ft
To solve for x, we can cross-multiply:
20 ft * 185 ft = 27 ft * x
3700 = 27x
Divide both sides by 27:
3700 / 27 = x
Round the answer to the nearest foot:
x ≈ 137.04 ft ≈ 137 ft
Therefore, the height of the building is approximately 137 feet.