Question

USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree? Which of the following proportions could not be used to solve the problem? 14/1.8 = x/4 x/1.8 = 14/4 x/14 = 1.8/4

Answer 1

Answer:

14/1.8 = x/4

Step-by-step explanation:

Using similar triangles,

height of man/length of man's shadow = height of tree/length of tree's shadow

1.8/4 = x/14

x/14 = 1.8/4

If we cross-multiply, we have

1.8 × 14 = x × 4

dividing both sides by 4 and 1.8,we have

14/4 = x/1.8

x/1.8 = 14/4

So, the two expressions we have are

x/14 = 1.8/4 and x/1.8 = 14/4.

So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.