SOLUTION: To whom may it concern, I have problem to solve this question below. A ladder 6.54 metres long leans against a wall, touching a window sill, and makes an angle of 62° with th

Algebra ->  Trigonometry-basics -> SOLUTION: To whom may it concern, I have problem to solve this question below. A ladder 6.54 metres long leans against a wall, touching a window sill, and makes an angle of 62° with th      Log On


   

Question 61091: To whom may it concern,
I have problem to solve this question below.
A ladder 6.54 metres long leans against a wall, touching a window sill, and makes an angle of 62° with the ground. Find the height of the window sill above the ground. How far is the foot of the ladder from the foot of the wall ?
Please help and thanks in advanced.
CH Lam
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi CH Lam,
A ladder 6.54 metres long leans against a wall, touching a window sill, and makes an angle of 62° with the ground. Find the height of the window sill above the ground. How far is the foot of the ladder from the foot of the wall ?
:
Draw a right triangle, the ladder is the hypotenuse, the wall is the side opposite the angle with the ground, the distance frome the wall is the side adjacent to the angle with the ground.
:
angle with the ground=62
height of the wall=o
distance from the wall=a
The ladder is the hypotenuse=6.54 m
:
sin(x)=opposite/hypotenuse
sin%2862%29=o%2F6.54m
6.54msin%2862%29=o
5.774m=o
The wall is about 5.774 m
:
cos(x)=adjacent/hypotenuse
cos%2862%29=a%2F6.54m
6.54mcos%2862%29=a
3.070m=a
The distance from the wall is 3.07 m.
:
Happy Calculating!!!