A pole that is 2.5m tall casts a shadow that is 1.57m long. At the same time, a nearby building casts a shadow that is 42.25m long. How tall is the building? Round your answer to the nearest meter.
+130511 We can use similar triangles here:
(ht. of pole) / (ht. of pole shadow) = (ht. of building) / (ht. of building shadow)
(2.5 m) / (1.57 m) = (ht. of building) / (42.25 m)
Therefore...multiplyinh both sides by 42.25 m. we have
(42.25 m)*(2.5 m) / (1.57 m) = (ht. of building) ≈ 67.28 m = 67 m. (rounded)
+130511 We can use similar triangles here:
(ht. of pole) / (ht. of pole shadow) = (ht. of building) / (ht. of building shadow)
(2.5 m) / (1.57 m) = (ht. of building) / (42.25 m)
Therefore...multiplyinh both sides by 42.25 m. we have
(42.25 m)*(2.5 m) / (1.57 m) = (ht. of building) ≈ 67.28 m = 67 m. (rounded)
