A 16- foot ladder is leaned against a wall. the base of the ladder is 9 feet from the base of the wall. what angle does the ladder make from with the ground ?

1 Answer
Jim G.
Mar 17, 2018

#55.77^@" to 2 dec. places"#

Explanation:

#"The situation is a right triangle with hypotenuse 16 feet"#
#"and adjacent side to the required angle being 9 feet"#

#"using the "color(blue)"cosine trig. ratio"#

#•color(white)(x)cosx="adjacent"/"hypotenuse"#

#"where x is the angle between the ladder and the ground"#

#rArrcosx=9/16#

#rArrx=cos^-1(9/16)~~55.77^@" to 2 dec. places"#

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