Question

a ladder 3.7 m long is placed against a wall in such a way that the foot of the ladder is 1.2 metres away from the wall. find the height of the wall to which the ladder reaches

Answer 1

Answer:

3.5 m

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 1.2^2 = 3.7^2

a^2 + 1.44 = 13.69

a^2 = 13.69 - 1.44

a^2 = 12.25 [square root]

a = 3.5 m

Answer 2

Answer:

3.5m

Concept:

The ladder in in the form of a triangle, where, base of triangle is the distance between foot of ladder and wall, the height of the triangle is the height to which the ladder reaches and the hypotenuse of the triangle is the length of the ladder.

Given, Base of triangle= 1.2m

Hypotenuse of triangle = 3.7 m

Therefore, Height of triangle = 3.5m

Step-by-step explanation:

Using Pythagoras theorem;

(Hypotenuse)^2= (Base)^2+(Height)^2

=> (3.7m)^2 = (1.2m)^2+ (h)^2

=> 13.69m sq. = 1.44m sq. + (h)^2

=> 13.69-1.44m sq. = (h)^2

=> 12.25m sq. =(h)^2

=> h = √12.25m sq.

=> h = 3.5m

Hence, the ladder reaches upto 3.5m.