Question

At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.

Answer 1

The height of the tree is 249.5 feet

How to determine the height of the tree?

The given parameters are:

• Elevation angle = 80 degrees
• Shadow length (L) = 44 feet

Let the height of the tree be x.

So, we have:

tan(80) = x/44

Multiply both sides by 44

x = 44 * tan(80)

Evaluate

x = 249.5

Hence, the height of the tree is 249.5 feet

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