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An electric post was broken by a strong typhoon. It formed a right triangle with the ground. If a broken part made an angle of 25⁰with the other part, and the topmost part of the post which was on the ground was 40 ft from the base, how tall was the post?

 Mar 29, 2021
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This makes a right triangle with one leg = 40 ft

  we need to find the hypotenuse (the part that broke off)

        sin 25 = opposite / hypotenuse

                   = 40/hyp

              hyp = 40 / (sin25) = 94.65 ft

     Now you also need the remaining upright piece to add to the broken height  for the total height

 

cos 25 = adj/hyp

cos 25 = adj / 94.65

    adj = 85.78 ft

 

85.78 + 94.65 = 180.43 feet tall originally

 Mar 29, 2021

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