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Masja [62]
3 years ago
15

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

Mathematics
1 answer:
andriy [413]3 years ago
3 0
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
 From that place, both cast a shadow in the same direction.
 We then have two similar triangles.
 Therefore, we have the following relationship:
 \frac{x}{48} = \frac{5}{8}
 From here, we clear the value of x.
 We have then:
 x = \frac{5}{8} *48
 Rewriting:
 x=30
 Answer:
 
the tree is 30 feet tall
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Consider OACB,

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Use trigonometric identities to solve each equation within the given domain.
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Also recall the double angle identity for sine,

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(None of these <em>x</em> make cos(<em>x</em>) = 0, so we don't have to omit any extraneous solutions.)

6 0
3 years ago
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