Answer:
58 m approximately
Explanation:
We can use similar triangles to solve this problem. The ratio of the height of the pole to its shadow length is equal to the ratio of the height of the building to its shadow length. Let's denote the height of the pole as "h" and the height of the building as "x."
According to the given information:
Height of the pole (h) / Length of the pole's shadow = Height of the building (x) / Length of the building's shadow
Plugging in the values:
2.5 m / 1.65 m = x / 38.25 m
To find "x," we can cross-multiply and solve for it:
2.5 m * 38.25 m = 1.65 m * x
95.625 m^2 = 1.65 m * x
Dividing both sides by 1.65 m:
95.625 m^2 / 1.65 m = x
58 m = x
Therefore, the height of the building is approximately 58 meters when rounded to the nearest meter.