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 th
e 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?
2 answers:
Answer:
h = 5.23 m
Therefore, the tree is 5.23 m tall
Step-by-step explanation:
The question can be represented by the sketch in the attached image.
Where BE is the height of raul and CD is the tree's height (h)
Triangle ABE and ACD are both similar triangle.
And the ratio of their sides are equal
So,
BE/AE = CD/AD .....1
From the sketch,
BE = 1.53m
AE = 8.73m
CD = h
AD = 8.73 + 21.11m = 29.84m
Substituting into equation 1
1.53/8.73 = h/29.84
h = 29.84 × 1.53/8.73
h = 5.23 m
Therefore, the tree is 5.23 m tall
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Step-by-step explanation:
Previous concepts
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Solution to the problem
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