Question

A ladder,learning against a wall,makes an angle of 60°with the horizontal.if the foot of the ladder is 2.5m away from the wall,find the length of the ladder.​

Answer 1

Answer:

The length of the ladder is 5m.

Answer 2

Answer:

Length of the ladder = 5 m.

Step-by-step explanation:

●Here ladder , surface(horizontal) & wall makes a right angle triangle .

●Of which , ladder = hypotenuse = x(let) ;

surface = base = 2.5 m (given) ; wall = perpendicular .

●we know that ,

trignometric ratio of cos(theta) = base / hypotenuse .

●therefore , we have ,

cos60° = base /hypotenuse = 2.5 / x

cos60° = base /hypotenuse = 2.5 / x1/2 = 2.5 / x [ cos60° = 1/2 ]

cos60° = base /hypotenuse = 2.5 / x1/2 = 2.5 / x [ cos60° = 1/2 ]therefore , x = (2.5 × 2) = 5 m (ANSWER)