Question

A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time a tower casts the shadow 40 m long on the ground. The height of the tower is : *

Answer 1

60m tall

Explanation:

Since this is a ratio problem and we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the height of the tower which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

12m height <======> 8m shadow

x height <======> 40m shadow

(40m * 12m) / 8m = 60m height

Finally, we can see that the height of the tower is 60m tall.