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A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 14ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

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khuranashilpa76

The length of the ladder is 30.83 ft

What are trigonometry ratios?

Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

various ratios are:-

  • sin=perpendicular/hypoteneuse
  • cos=base/hypotenuse
  • tan=perpendicular/base   (tan30°)=5/b
  • cot=base/perpendicular
  • sec=hypotenuse/base
  • cosec= hypotenuse/perpendicular

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.

CALCULATIONS:-

The angle of elevation is 70°

using the height and distance formula

    cos∅ = base/hypotenuse

cos 70°= 0.454  

   cos∅ = base/hypotenuse

     0.454  =14/hypotenuse

hypotenuse(length of ladder)= 14/0.454

       length of ladder= 30.83 ft

Learn more about trigonometry here:-https://brainly.com/question/24349828

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