Question

Christian is 1.35 meters tall. At 10 a.m. , he measures the length of a tree’s shadow to be 38.65 meters. He stands 34.4 meters away from the tree, so that the top of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter.

Answer 1

The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.

What is Proportion?

Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,

Christian height = 1.35 m

Tree shadow  = 38.65 meter

Christian shadow = 34.4 meters

Let's establish the proportion to find the height of the tree. Therefore,

let

x = height of the tree

1.35 / x = 34.4 / 38.65

cross multiply

38.65 × 1.35 = 34.4x

x = 52.1775 / 34.4

x = 1.5167877907

x = 1.52 meters

Therefore, The height of the tree is 1.52 meters.

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