The length of a shadow of a building is 10m. The distance from the top of the building to the tip of the shadow is 26m. Find the height of the building. If necessary round your answer to the nearest tenth
To find the height of the building, we can use similar triangles.
Let x be the height of the building.
Based on the information given, we have:
x/10 = (x+26)/26
Cross multiplying, we get:
26x = 10(x+26)
26x = 10x + 260
16x = 260
x = 260/16
x = 16.25
Therefore, the height of the building is approximately 16.3 meters.