A tree casts a 26-ft shadow. A boy stands nearby casts a 12-ft shadow, forming similar triangles. His height is 4.5 for how tall is the tree

Question

asked Apr 7, 2019 102k views

1 Answer

Roobie Nuby · Answer 1 · 2019-04-13T23:56:19+0000

9.75 ft

Since the triangles formed by the heights and shadows, the ratios of corresponding sides are equal.

the corresponding sides are the heights and the lengths of the shadows

let h be the height of the tree, then

(h)/(4.5) =
(26)/(12) ( cross- multiply )

12h = 4.5 × 26 = 117 ( divide both sides by 12 )

h = 9.75

hence the height of the tree is 9.75 ft