The angle of elevation of a ladder leaning against a house is 60° and the foot of the ladder is 6.5 m from the foot of the house. Find the length of the ladder in meters.

13 meters

We know ,

tan60º = \(\frac{ √3 }{1}\)

{ we know, tan A =  \(\frac{ P }{B}\) }

P = √3, B = 1

By using pythagoras theorem ,

P² + B² = H²

( √3 )² + 1² = H²

3 + 1 = H²

H = 2

According to question ,

1R = 6.5 m

So, 2R = 2 x 6.5 = 13 m

Length of ladder is = 13 m