A ladder is leaning against a wall makes an angle 'x' with the horizontal ground such that tanx = 192/80. if the length of the ladder is 52 metres, then what is the distance (in metres) of the foot of the ladder from the wall?
Show answer & explanation
Correct answer: A
Explanation
Given:
tan x = 192/80
Length of the ladder = 52 meters
According to the formula:
tan x = Perpendicular / Base
Ladder = Hypotenuse
tan x = 192/80 = 12/5
Therefore:
Perpendicular : Base : Hypotenuse = 12 : 5 : 13
Hypotenuse = 52
13k = 52
k = 4
Base = 5k = 5 × 4 = 20 meters