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Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .

Two poles of different heights are used for a climbing event and need to be secured to the ground using wires The shorter pole is 60 m tall and the wire is secu class=

Respuesta :

Using similar triangles, it is found that the height of the taller pole is of 9.6m.

What are similar triangles?

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The hypotenuse of the smaller triangle is given as follows:

h² = 6² + 8² -> h = 10.

Hence the proportional relationship is:

[tex]\frac{10}{16} = \frac{6}{h}[/tex]

Applying cross multiplication:

10h = 96

h = 9.6m.

More can be learned about similar triangles at https://brainly.com/question/305520

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