A ladder of length #5# units makes an angle of #50^0# with the ground and reaches 1 unit from the top of a wall of a house. How high is the wall?

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Answer 1 · 2017-11-04T12:27:58

Height #approx 4.83 [cm?]#
[Although the unit cm makes no sense as the height of a house!]

Let's forget about the units as centimeters make no sense in the context of the problem.

Let the height of the wall be #h# units

A ladder of length #5# units makes an angle of #50^0# with the ground and reaches #(h-1)# units up against a wall of the house.

Assume that the wall of the house, the ground and the ladder form a right triangle.

Then. #sin(50^0) = (h-1)/5#

#h-1 approx 5xx 0.7660#

#h approx 3.830 +1#

#h approx 4.830# units