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]2 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]2 years ago

4 0

Answer:

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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