Answer:
8/3 meters (I wrote it as an improper fraction to avoid the hassle of writing repeating decimals)
Step-by-step explanation:
Don't try to include the timber in this problem. It is unnecessary. So, let's focus on the fact that the triangle with 3cm, 1.6m, and a portion of the timber is similar to the triangle with (3+2) cm, ?m, and the full length of the timber. Now, to find the ratio; we know that the side with 3 cm is similar to the side in the other triangle with a measure of 3+2=5 cm. So the ratio is 5/3. Now, we want to find out how far up the timber will go up the wall. This means you want to find the vertical measurement. So, multiply 1.6 (8/5) by 5/3, equaling 8/3.
