Question

In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth.

Answer 1

42.0 ft

Explanation:

let t be the height of the tree.

At the same time ,the measure of something

and its shadow are proportional .

Then

`(2)/(6) =(14)/(t)`

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall