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A radio tower is 100 feet tall. A guy wire runs 135 feet, from point A at the top of the tower, to the ground at point B The base of the
radio tower is at point C. Triangle ABC is a right triangle.
How far IS from the base of the radio tower to point B where the guy wire secured to the ground? Round to the nearest tenth of a
foot

A radio tower is 100 feet tall. A guy wire runs 135 feet, from point A at the top of the tower, to the ground at point B The base of the radio tower is at point class=

Answer :

  • P=100ft
  • H=135ft

We need base

Apply Pythagorean theorem

  • B²=H²-P²
  • B²=135²-100²
  • B²=18225-10000
  • B²=8225
  • B=90.697ft
  • B=90.7ft
semsee45

Answer:

90.7 ft (nearest tenth)

Step-by-step explanation:

From the given information, this can be modeled as a right triangle, where:

  • AB = hypotenuse = 135 ft
  • AC = height = 100 ft
  • BC = base

To find the base of the triangle (BC), use Pythagoras' Theorem

[tex]a^2+b^2=c^2[/tex]  (where a and b are the legs, and c is the hypotenuse)

[tex]\implies 100^2+BC^2=135^2[/tex]

[tex]\implies BC^2=135^2-100^2[/tex]

[tex]\implies BC^2=8225[/tex]

[tex]\implies BC=\sqrt{8225}[/tex]

⇒ BC = 90.7 ft (nearest tenth)

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