A 120m cable TV tower casts a 96m shadow. Find the height of a nearby telephone pole that cast a 16m shadow.
Use a proportion. Cross multiply and solve for x.
120/96 = x/16
To find the height of the nearby telephone pole, we can set up a proportion using the heights and shadows of the two objects.
Let's assume that the height of the telephone pole is x meters.
According to the given information, the cable TV tower is 120m tall and casts a shadow of 96m. The telephone pole casts a shadow of 16m.
We can set up the following proportion:
(height of TV tower) / (shadow of TV tower) = (height of telephone pole) / (shadow of telephone pole)
Plugging in the values, we get:
120m / 96m = x / 16m
To solve for x, we can cross-multiply:
(120m)(16m) = (96m)(x)
1920m^2 = 96m*x
Now, divide both sides of the equation by 96m:
1920m^2 / 96m = x
Simplifying this, we get:
20m = x
Therefore, the height of the nearby telephone pole is 20 meters.