Question

Andres is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 29.05 meters. He stands 24.2 meters away from the tree, so that the tip 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 the tree is 1.86 meters

Ratio

Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. Therefore, the situation forms an equivalent ratio as follows;

height of Andres = 1.55 meters

length of tree shadow = 29.05 meters

length of Andres shadow = 24.2 meters

Using equivalent ratio,

height of Andres : height of tree  = length of Andres shadow : length of tree shadow

Therefore,

• 1.55 / x = 24.2 / 29.05

cross multiply

24.2x = 1.55 × 29.05

24.2x = 45.0275

divide both sides by 24.2

x = 45.0275 / 24.2

x = 1.86064049587

x = 1.86 meters

Therefore, the height of the tree is 1.86 meters

learn more on ratio here: https://brainly.com/question/25336051