Perla D.
asked • 03/04/22What is the degree measure?
A guy wire 1628 feet long is attached to the top of a tower. When pulled taut, it touches level ground 707 feet from the base of the tower. What angle does the wire make with the ground? Express your answer using degree measure rounded to one decimal place.
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1 Expert Answer
Raymond B. answered • 03/04/22
Tutor
5
(2)
Math, microeconomics or criminal justice
cosx=707/1628 =about 0.4343
use a calculator with a trig & inverse trig functions
such as Desmos online
x = the inverse cosine of 0.4343 = cos^-1(0.4343) = 64.2608
the angle =64.3 degrees rounded to one decimal place
treat 1628 as the hypotenuse of a right triangle and 707 as the adjacent side
height of the tower squared =1628^2 -707^2 = 2650384 - 499849 = 2150535
tower's height = square root of 2150535 = 1466.47 feet high
cosx = adjacent side divided by the hypotenuse
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Mark M.
Did you draw and label a diagram? One posting of a problem is sufficient.03/04/22