A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A.
1m 
B.
1.1m 
C.
1.2m 
D.
0.9m 
E.
1.3m
Correct Answer: Option E
Explanation
If tan(theta) = 2, 4
(theta) = tan^{1}(2.4)
= 67^{o} 25
By sin formula (frac{x}{sin 90^o}) = (frac{50}{sin 22^o 37})
= (frac{50}{sin(9o – theta)})
sin90^{o} = 1
x = 50 cosec 22^{o} 37
= 50 x 2.604x
= 130cm
but 100cm = 1m
130cm = 1.3m