Question

A 3 m long ladder leans on the wall such that its lower end remains 1.5 m away from the base of the wall. Then, the ladder makes an angle of measure ...... with the ground.select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 30
(b) 45
(c) 60
(d) 20

Answer 1

Length of the Ladder = 3 m

and Distance between wall and lower end of Ladder = 1.5 m

So, angle made between ladder and Ground will be Cos

So, Cos Theta = base / Hypoteneus

So, Cos Theta = 1.5 / 3

Therefore Cos Theta = 1 / 2

and Cos 60 = 1 / 2

therefore, answer is Cos 60.

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Thanks

Regards

Aditya Suryawanshi

Answer 2

From the figure ,

Length of the ladder ( AB) = 3 m

Distance from the foot of ladder

to the wall = AO = 1.5 m

In ∆AOB , <AOB = 90°

Cos x = adjacent side of x /hypotenuse

= OA/AB

= 1.5m/3m

= 1/2

Therefore ,

cos x = cos 60°

x = 60°

Option ( c ) is correct.

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