Atree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. find the height of the tree. note that the two triangles are proportional to one another.

30 feet

Step-by-step explanation:

We are given that a tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet.

We are to find the height of the tree.

Using their proportions to compare the height of each object to the length of the shadow.

Therefore, the height of the tree is proportion comparing the height of each object to the length of the shadow 30 feet.

30 ft

Step-by-step explanation:

Let the height of the tree be x ft. There are two right triangles:

1. Tree and its shadow are two legs of the first triangle;

2. Man and his shadow are two legs of the second triangle.

A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. This means these two triangle are similar. Similar triangles have proportional sides' lengths. Hence,

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