Stephanie casts a shadow of 1.2m and she is 1.8m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation and then calculate how tall the wind turbine is.

Use a proportion to solve this problem.

1.2 / 1.8 = 10/x

Cross multiply and solve for x.

What about the diagram?

To calculate the height of the wind turbine, we can set up a proportion using the lengths of the shadows and the heights.

Let's draw a diagram to visualize the situation:

Stephanie (1.8m) ---[1.2m Shadow]---X (Turbine)---[10m Shadow]

Now, let's set up the proportion:

height of Stephanie / length of Stephanie's shadow = height of the wind turbine / length of the turbine's shadow

Using the given values, we can write the equation:

1.8m / 1.2m = h / 10m

To solve for h (height of the wind turbine), we can cross multiply:

1.8m × 10m = 1.2m × h

18m² = 1.2m × h

Dividing both sides by 1.2m:

18m² / 1.2m = h

15m = h

Therefore, the height of the wind turbine is 15 meters.

Stephanie casts a shadow of 1.2m and she is 1.8m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation and then calculate how tall the wind turbine is.

Cross multiply and your welcome.

Ddsisi