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
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°
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: