Elementary School Math Problems-3

Consider this as the one of the easiest questions you have heard because you only need to solve a missing term in proportion ( This is an Elementary Technique )

8 : 10 = 32 : N

Considering the missing term is an extreme you will

1.) Multiply the MEANS ( Which are 10 and 32 )

2.) And then divide it by 8

3.) The result is automatically 40

lets call the length of the shadow $l$ , the angle of the sun from the earth $x$ and the height of the pole $h$ , then $\frac{h}{l}=tan(x)$ . $tan(x)$ is constant at any given time so $\frac{h}{l}$ must also be constant therefore $\frac{10}{8}=\frac{h}{32}$ so $\frac{320}{8}=h$ so $h=\boxed{40cm}$

considering ∆ABC AB=10m BC=8m angleB=90' angle C=y'
similar to ∆DEF DE=x EF=32m angleE=90' angleC=y'
hence AB:BC =DE:EF
10:8=x:32
x=(10/8) 32
x=10X4
x=40m