Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to

Mathematics

1 answer:

pashok25 [27]1 year ago

6 0

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

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