A ladder leaning against a wall makes an angle of 60° with the ground. If the length of the ladder is 19 m, then what is the distance of the foot of the ladder from the wall?
Answer & explanation
Correct answer: option 4
In a right angle triangle ,
cos A = \(\frac{B}{H}\) = \(\frac{AB}{AC}\)
According to question , A = 60º
So, cos 60º = \(\frac{AB}{19}\)
Now,
\(\frac{1}{2}\) = \(\frac{AB}{19}\)
AB = 9.5m