SOLUTION: An 18ft ladder is leaning against a house. It touches the bottom of a window that is 14ft 6in above the ground. What is the measure of the angle that the ladder forms with the gr

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Question 180791This question is from textbook Analytic Trigonometry
: An 18ft ladder is leaning against a house. It touches the bottom of a window that is 14ft 6in above the ground. What is the measure of the angle that the ladder forms with the ground? This question is from textbook Analytic Trigonometry

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x = angle
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From "sohcahtoa" we have:
sin x = opposite/hypotenuse
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Plugging in what was given
sin x = 14.5/18
x = arcsin(14.5/18)
x = 53.664 degrees