Math, asked by kevin6484, 1 year ago

find the angle made by a ladder of length 5m with the ground,if one of its end is 4m away from the wall and the other end is on the wall.

Answers

Answered by santy2
16

Answer:


Step-by-step explanation:


This is a question on Trigonometry.


It is testing on the trigonometric ratios.


The ladder leaning on the wall forms a right angled triangle.


Let the right angled triangle formed be of side a, b and c.


Now :


a = the height = the height of the wall.


b = the base = The distance between the ladder and the wall.


c = The hypotenuse = the length of the ladder.


In our case :


C = 5m


b = 4m


Let the angle that the ladder makes with the ground be O.


Since b is adjacent and c is the hypotenuse we will use cosine.


Cos O = adjacent / hypotenuse


Cos O = 4/5


= 0.8


O = Cos inverse of 0.8


= 40.97°


The angle that the ladder makes with the ground is thus :


40.97°



Answered by sagarsoni2003
3

Answer:

Cos O = base / hypotenuse  

Cos O = 4/5  

= 0.8

O = Cos inverse of 0.8

= 40.97°

The angle that the ladder makes with the ground is thus :

40.97°             (Approx = 41 degree)

Step-by-step explanation:

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