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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?

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 height of the tree to the nearest tenth of foot is 20.5 ft

Right angle triangle:

A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

The base of the big triangle can be found as follows:

c² = a² + b²

c² = 9.2² + 5.8²

c² = 84.64 + 33.64

c = √118.28

c = 10.8756608995

c = 10.88 ft

Therefore, using similar triangle ratio,

5.8 / 10.9 = 10.9 / x + 5.8

5.8x + 33.64 = 118.81

5.8x = 118.81 - 33.64

5.8x = 85.17

x = 85.17 / 5.8

x = 14.6844827586

x = 14.68

Therefore, the height of the tree = 14.7 + 5.8 = 20.5  ft

learn more on right angle triangle here: https://brainly.com/question/26909069

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