The length of ladder is 7.8 m provided ladder makes an angle 50 degree and it is 5m from wall .
For understanding , check the calculation here
Calculation :
A ladder makes an angle of 50° with the ground and the foot of the ladder is 5 m from the wall. It forms a right angle triangle.
Apply trigonometric ratio to find out the length of the ladder
The diagram is attached below .
We are given with the angle and the adjacent side of the triangle .
cos(theta)= adjacent side / hypotenuse
Given angle theta is 50 degree
Adjacent side is 5m .
Let the length of the ladder is x m
[tex]cos(theta)=\frac{adjacent }{hypotenuse } \\cos(50)=\frac{5}{x} \\xcos(50)=5\\[/tex]
Divide both sides by cos(50)
[tex]x=\frac{5}{cos(50)} \\x=7.77861\\x=7.8 m[/tex]
The length of ladder is 7.8 m
Learn more information about ' Trigonometric ratio ' here
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