You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye. What is the height of the tree to the nearest tenth of a foot? 9.2 ft 5.8 ft​

You want to find out the height of a tree so you hold a square cardboard so that the edges line up with the top and bottom of the tree as shown in the diagram b class=

Respuesta :

The vertical distance from the ground to your eye is 10.9 feet and the height of the tree is 20.5 feet.

What is Pythagoras theorem

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, let d represent the horizontal distance, hence:

d² = 9.2² + 4.8²

d = 10.9 feet

Let h represent the height of the tree, hence:

h / 10.9 = 10.9 / 5.8

h = 20.5 feet

The vertical distance from the ground to your eye is 10.9 feet and the height of the tree is 20.5 feet.

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