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 A tall tower (Posted on 2014-06-18)
A tall tower is constructed on the side of a hill with uniform incline. Two guy wires are attached to the top of the tower and to points on the ground 50.0 feet from the tower - one directly up-slope and one directly down-slope. If the wires are 284.7 feet and 303.5 feet respectively, what is the angle of incline of the hill and how high is the tower?

 No Solution Yet Submitted by Jer No Rating

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 re: Solution - Spoiler | Comment 3 of 6 |
(In reply to Solution - Spoiler by Kenny M)

If we let d = 303.5, u = 284.7, and s = 50; then your equations
become

d^2 = h^2 + s^2 + 2*h*s*sin(A)
and
u^2 = h^2 + s^2 - 2*h*s*sin(A)

Using these two equations

we can solve for h and A with d, u, and s given

or

we can solve for d and u with h, A, and s given.

Note: The second option is what I think Jer did to get d and u.

Edited on June 19, 2014, 12:04 am
 Posted by Bractals on 2014-06-18 23:01:50

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