Mathematics
Grade9
Easy

Question

Taluka is standing 117 feet from the base of the Washington Monument in Washington, D.C. She uses her clinometer to measure the angle of the elevation to the top.  The measured angle is 78 to the power of ring operator. If Taluka’s eye height is 5' 6'‘, then the height of the monument is

  1. 550.4 feet
  2. 555. 9 feet
  3. 30.4 feet
  4. 24.9 feet

hintHint:

Tan x = opposite side/ adjacent side

The correct answer is: 555. 9 feet


    Height of the Washington Monument = h + 5 feet, 3 inches
    We also have

    Height of the Washington Monument = 550.44 + 5 feet, 3 inches

    Height of the Washington Monument = 555.44 + 0.25
    Height of the Washington Monument = 555.69 feets

    sin x = opposite side/hypotenuse side
    cos x= adjacent side / hypotenuse side
    tanx = sinx / cosx

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