SOLUTION: To Whom May It Concern, I have the question but I am not very able to do it. A church spire 82 metres high casts a shadow 62 metres long. Find the angle of elevation of the

Algebra ->  Trigonometry-basics -> SOLUTION: To Whom May It Concern, I have the question but I am not very able to do it. A church spire 82 metres high casts a shadow 62 metres long. Find the angle of elevation of the       Log On


   



Question 61090: To Whom May It Concern,
I have the question but I am not very able to do it.
A church spire 82 metres high casts a shadow 62 metres long. Find the angle of elevation of the sun at that moment.
Please help. Thanks a lot.
CH Lam

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi CH lam,
A church spire 82 metres high casts a shadow 62 metres long. Find the angle of elevation of the sun at that moment.
:
Draw a right triangle, the spire (I'm not sure what that is, I am assuming that it goes all the way down to the ground) is the side going up and down opposite the angle with the ground, the shadow is the side ajacent to the angle.
:
Opposite side=82m
ajacent side=62m
angle of elevation=x
:
tan(x)=opposite/ajacent
tan%28x%29=82m%2F62m
tan%28x%29=41%2F31
x=tan^(-1)(41/31)<--inverse tan or arctan
x=52.907 degrees
Happy Calculating!!!