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Given the length of the ladder and the angle it made with the ground, it will reach 16.7 ft up the wall.

How many feet up the wall will the ladder reach?

Given that;

  • Angle with the ground θ = 71°
  • Length of the ladder / hypotenuse = 17ft
  • Length of wall = x

To determine the length wall from the tip of the ladder to the ground level, we use trigonometric ratio since the scenario forms a right angle triangle.

Sinθ = Opposite / Hypotenuse

Sin( 71° ) = x / 17ft

x = Sin( 71° ) × 17ft

x = 0.9455 × 17ft

x = 16.1 ft

Given the length of the ladder and the angle it made with the ground, it will reach 16.7 ft up the wall.

Learn more about trigonometric ratio here: brainly.com/question/28016662

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