Question

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

Answer 1

Answer:

41

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

Answer 2

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