A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the angle makes with the ground? Round to the nearest degree.

1 Answer
Apr 1, 2018

#theta ~~53^@#

Explanation:

Given: A ladder forms a triangle against a wall. The ladder is #5# meters long (hypotenuse). The top of the ladder is #4# meters above the ground.

The ladder forms a triangle with the wall:
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The angle can be found using trigonometry:

#theta = sin^(-1) (4/5) ~~ 53^@#