Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet 2 inches long. At the same time, a nearby electric tower casts a shadow 8 feet 9 inches long. How tall is the tower?

How do I set this up into ratios to figure out the tower height?

If you are April, I did this for you

http://www.jiskha.com/display.cgi?id=1421375385

I'm not april, but thanks though

To set up the problem using ratios, we will compare the height of Miguel to the length of his shadow, and then compare the height of the electric tower to the length of its shadow.

Let's start by converting the heights and lengths into inches.

Miguel's height: 5 feet 10 inches = (5 * 12) + 10 = 70 inches
Miguel's shadow length: 4 feet 2 inches = (4 * 12) + 2 = 50 inches

Electric tower's shadow length: 8 feet 9 inches = (8 * 12) + 9 = 105 inches

Now, we can set up the ratio equation:

Miguel's height / Miguel's shadow length = Electric tower's height / Electric tower's shadow length

Plugging in the values:
70 inches / 50 inches = Electric tower's height / 105 inches

To solve for the height of the electric tower, we can cross-multiply and then divide:

70 inches * 105 inches = Electrical tower's height * 50 inches

7350 inchesĀ² = Electrical tower's height * 50 inches

Electrical tower's height = 7350 inchesĀ² / 50 inches

Electric tower's height = 147 inches

Therefore, the height of the electric tower is 147 inches.