Raul, who is 1.53 m tall, wishes to find the height of a tree. He walks 21.11 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. He is now 8.73 m from the end of the shadows. How tall is the tree?

5.22m

Step-by-step explanation:

Using the rule of similar triangles where the the side lengths of two similar triangles are proportional

Parameters :

Tree height = t

Raul's height = 1.53m

Height of Raul's shadow = 8.73m

Total length of tree shadow = distance walked along tree shadow+ distance left to the end of tree shadow, Therefore,

Total length of tree shadow = 21.11 + 8.73 = 29.84m

Therefore,

Raul's ratio = tree's ratio

Raul's height : Raul's shadow = tree height : tree shadow

1.53 : 8.73 = t : 29.84

1.53/8.73 = t/29.84

1.53 × 29.84 = 8.73× t

t = 45.6552 / 8.73

t = 5.22m

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