SOLUTION: An h = 105-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft
Algebra ->
Trigonometry-basics
-> SOLUTION: An h = 105-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft
Log On
Question 759091: An h = 105-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed. (Round your answer to the nearest foot.) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! An h = 105-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed. (Round your answer to the nearest foot.)
-----
Draw the picture.
You have an obtuse triangle with A = 148 degrees, b = 105 ft, and c = 55 ft.
-----
Find "a":
Law of Cosines::::
a^2 = 105^2 + 55^2 - 2*55*105*cos(148)
---
a^2 = 23844.96
-----
a = 154.82 ft
======================
Cheers,
Stan H.
(