The first composite shape we would need to find is the rectangle. We would use the formula length multiplied by width. The second composite shape is a hemisphere. The area of a hemisphere is Pi multiplied by the radius squared and then divide it by 2. To find the area of both of these figures, add up the area for each one and then you will get the
area of both.

4 0

2 years ago

A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l

Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0

3 years ago