Answer:
See explanation
Step-by-step explanation:
The two triangles are similar if the ratio of the corresponding sides are proportional.
The ratio of the corresponding sides are:
The set of ratios which could be used to determine if one triangle is a dilation of the other is
If there are multiple correct options then check this one too.
the height of the tree is 23 feet .
<u>Step-by-step explanation:</u>
Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:
According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So
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But , From tony scenario
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Equating both we get :
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⇒
⇒
Therefore , the height of the tree is 23 feet .