SOLUTION: please help me i am ot soo good with word problems. if u can please help me i would appreciate it!! tim needs to find the height of a tower surrounded by a fence, which prevents

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Question 566079: please help me i am ot soo good with word problems. if u can please help me i would appreciate it!!
tim needs to find the height of a tower surrounded by a fence, which prevents direct measurement of the tower's shadow length. Tim was instead able to find that the shadow was 650 feet longer at a 30 degree angle as compared to a 45 degree angle of the sun. Help Tim solve for the tower height.
please help me!!!!
Thank you!!!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the shadow at 45 deg be x
at 30 deg it is x+650 ft
let height of tower be h ft
Tan 45 = h/x
but tan 45 = 1
so h = x
Tan 30 = h/(h+650)
1/sqrt(3)= h/(h+650)
h+650 = h sqrt(3)
hsqrt(3)-h = 650
h(sqrt(3)-1)=650
h= 650/(sqrt(3)-1)
h= 888 ft