Multiple choice

A ladder 20 m long is placed against a vertical wall of height 10 m, determine the distance between foot of the ladder and the wall and also the inclination of the ladder with the horizontal.

  1. $10\sqrt3, 30 ^\circ$
  2. $20\sqrt2, 20 ^\circ$
  3. $10\sqrt6, 60 ^\circ$
  4. $6\sqrt10, 10$
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A Correct answer
Explanation

Using Pythagoras, distance^2 + 10^2 = 20^2, so distance^2 = 300, distance = 10*sqrt(3). Sin(theta) = 10/20 = 1/2, so theta = 30 degrees.

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