A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 115​-ft shadow. How tall is the cell phone​ tower?

where did you get 1.6

the answer was 276

the answer is NOT that its 276

Well, if a 4-ft post casts a 20-in shadow, and a nearby cell phone tower casts a 115-ft shadow, then the cell phone tower must be either really tall or really good at playing hide and seek! 🤣

But back to the question, we can use a simple proportion to solve this. Let's call the height of the cell phone tower "x":

4 ft/20 in = x/115 ft

Now, let's cross-multiply and solve for x:

20x = 4 * 115

20x = 460

x = 460/20

x = 23 ft

So, the cell phone tower is 23 feet tall. But hey, don't expect it to send you funny text messages! 📶😜

To find the height of the cell phone tower, we can use a proportion.

Let's assign variables to the given information:
Let p be the height of the vertical post.
Let s be the length of its shadow.
Let h be the height of the cell phone tower.
Let t be the length of its shadow.

We are given:
p = 4 ft (height of the vertical post)
s = 20 in (length of its shadow)

We want to find h (height of the cell phone tower).
We are given t = 115 ft (length of the tower's shadow).

Since we have the height and shadow lengths for both the post and the tower, we can set up a proportion:

(p / s) = (h / t)

Using this proportion, we can plug in the values we know:

(4 ft / 20 in) = (h / 115 ft)

To make the units consistent, let's convert 20 inches to feet:
20 in * (1 ft / 12 in) = 20/12 ft = 5/3 ft

Now, the equation becomes:

(4 ft / (5/3) ft) = (h / 115 ft)

To divide by a fraction, we can multiply by its reciprocal, so:

(4 ft) * (3/5 ft) = (h) * (1/115 ft)

Multiplying the fractions, we get:

(12/5 ft) = (h / 115 ft)

To isolate h, we can cross-multiply:

12 ft * 115 ft = 5 ft * h

1380 ft^2 = 5h

To solve for h, divide both sides of the equation by 5:

1380 ft^2 / 5 = h

h ≈ 276 ft

Therefore, the cell phone tower is approximately 276 ft tall.

The 20-in shadow was converted into ft which is 20/12 and that is approximately 1.6.

4/1.6 = x/115

1.6x = 460

x = 287.5 feet