Question

A. 12

b. 16
c. 8
d. 4
- casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The
udent is 6 feet tall. What is the height of the tree? Show all work. (1 pt) Unit2 LT6
a.
45 feet tall
c.
15 feet tall
b.
24 feet tall
d.
20 feet tall

Answer 1

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work

Answer:

Option D

The height of tree is 20 feet tall

Solution:

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

`\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}`

This forms a proportion and we can solve the sum by cross multiplying

`\frac{\text{height of tree}}{30} = (6)/(9)\\\\\text{height of tree} = 30 * (6)/(9) = 30 * (2)/(3)\\\\\text{ height of tree } = 10 * 2 = 20`

Thus height of tree is 20 feet tall