Respuesta :

The height of tree is [tex]9\frac{5}{8} \text{ feet}[/tex]

Solution:

Given that shrub in Pam's backyard is about [tex]1\frac{3}{8}[/tex] feet tall

A small tree in her back yard is about 7 times as the shurd

To find: height of tree

From given information,

Height of shrub = [tex]1\frac{3}{8} = \frac{8 \times 1 + 3}{8} = \frac{11}{8} \text{ feet}[/tex]

Given that small tree in her back yard is about 7 times as the shurb

So we get,

height of tree = 7 times the height of shrub

[tex]\text{ height of tree } = 7 \times \text{ height of shrub}\\\\\text{ height of tree } = 7 \times \frac{11}{8}[/tex]

Therefore on solving we get,

[tex]\text{ height of tree } = \frac{77}{8} = 9\frac{5}{8} \text{ feet}[/tex]

Thus the height of tree is [tex]9\frac{5}{8} \text{ feet}[/tex]

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