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forsale [732]
3 years ago
12

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

1. Set up a ratio for the pole comparing height to shadow length:

   10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

    \dfrac{10 \text{ feet tall}}{15 \text{ feet shadow}}  =\dfrac{x \text{ feet tall}}{24 \text{ feet shadow}}

 

3. Solve the equation by multiplying by 24 on both sides of the equation:

    24 \cdot \dfrac{10}{15}  = x

   

      x = 16 feet

hichkok12 [17]3 years ago
4 0

Answer:

41

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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