The height of parks house is 15m. His friend, Matt, lives in a house that is 10m tall. If Matt’s house casts a shadow that is 8m long, what is the length of the shadow cast by parks house to the nearest tenth of a metre?
To find the length of the shadow cast by Park's house, we can use similar triangles.
Let x be the length of the shadow cast by Park's house. The height of Park's house is 15m, and the height of Matt's house is 10m. The shadow cast by Matt's house is 8m.
Using proportions, we set up the following equation:
x / 8 = 15 / 10
Cross multiplying, we get:
10x = 8 * 15
10x = 120
x = 12
Therefore, the length of the shadow cast by Park's house is 12m.