Question

A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.​

Answer 1

22.8 m

Explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

`(h)/(3.8)` =
`(7.8)/(1.3)` ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m