A pole that is 2.9 m tall casts a shadow that is 1.02 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. How tall is the tower
2.9/1.02 = h/39.75.
To find the height of the nearby tower, we can use the concept of similar triangles.
Let's consider the ratio between the height of the pole and the length of its shadow:
height of the pole / length of the pole's shadow = height of the tower / length of the tower's shadow
Plugging in the given values:
2.9 m / 1.02 m = height of the tower / 39.75 m
Now we can solve for the height of the tower:
2.9 m * 39.75 m / 1.02 m = height of the tower
Calculating this:
114.675 m / 1.02 m = height of the tower
So, the height of the tower is approximately 112.5 meters.