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lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below:

What is the height, in feet, of the portion AB of the lamppost?

lamppost CAB bent at point A after a storm The tip of the lamppost touched the ground at point C as shown below What is the height in feet of the portion AB of class=

Respuesta :

Using relations in a right triangle, it is found that the height, in feet, of the portion AB of the lamppost is given by:

h = 12 tan(45)º

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have that the height is the opposite side to the angle of 45º, while the adjacent side is of 12 feet, hence:

[tex]\tan{45^\circ} = \frac{h}{12}[/tex]

h = 12 tan(45)º

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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Answer: 12 tan 45°

Step-by-step explanation:

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