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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

Respuesta :

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

[tex]\frac{h}{4.5}[/tex] = [tex]\frac{26}{12}[/tex] ( 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


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