Question

Given the two triangles are similar below, Mr. Stickman measures the following lengths below, but he can't reach the flagpole. What is the height? 168 CM 114 cm 570 cm X= cm

Answer 1

Explanation:

The two triangles are similar, meaning the ratio of the sides is the same for both:

`(168)/(114)=(x)/(570)`

cross multiplication gives

`\mleft(168\mright)\mleft(570\mright)=114x`

dividing both sides by 114 gives

which is our answer!