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.

Question

asked May 10, 2023 160k views

1 Answer

Josh Beckwith · Answer 1 · 2023-05-15T06:22:58+0000

Answer:

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