At 3:00 PM a man 144 cm tall casts a shadow 146 cm long. At the same time, a tall building nearby casts a shadow 171 m long. How tall is the building?

Cant you use a ratio here?

h1/s1=h2/s2 solve for h2

173.375 meters

118.75

a rectangular lot is bounded at the back by a river . No fence is needed along the river and three is to be a 24-ft. opening in front. if the fence along the front costs $1.50 per ft.,along the sides $1 per ft. find the dimensions of the largest lot which can be thus fenced in for $300

146/144=1.01388888889

171/1.01388888889=168.657534246
ans-168.657534246

To find the height of the building, we can set up a proportion between the height of the man and the height of the building based on their respective shadows.

Let's say the height of the building is "x" meters. The proportion can be set up as follows:

144 cm / 146 cm = x m / 171 m

To solve for x, we can cross-multiply:

144 cm * 171 m = 146 cm * x m

Now let's convert the units so that they're all in meters:

(144 cm * 171 m) / (146 cm) = x m

(144 * 171) / 146 = x

33264 / 146 = x

x ≈ 227.86

Therefore, the height of the building is approximately 227.86 meters.