echoostie3780 echoostie3780
  • 20-02-2020
  • Mathematics
contestada

A 225-foot support wire is attached to the top of a monument at a stake on the ground 100 feet from the base of the monument as shown

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akiran007
akiran007 akiran007
  • 20-02-2020

Answer:

The height of the monument is 119.17 feet

Step-by-step explanation:

Let the wire , monument and ground be represented by a right angled triangle then the wire can be taken as  the hypotenuse or the resultant vector whose magnitude is determined by R Cos ∅

The monument will represent the perpendicular so the height of the monument will be given by

Perpendicular= Base Tan ∅

the base is 100 feet ∅ is 50 °

Perpendicular= 100 tan 50°

Perpendicular= 100(1.1917)

Perpendicular= 119.17 feet

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