Posted by **Anonymous** on Friday, February 17, 2012 at 5:58am.

53. A 60-foot drawbridge is 24 feet above water level when closed. When opened the bridge makes an angle of 33 degrees with the horizontal.

a. How high is the tip P of the open bridge above the water?

b. When the bridge is open, what is distance from P to Q?

53. A 60-foot drawbridge is 24 feet above water level when closed. When opened the bridge makes an angle of 33 degrees with the horizontal.

a. How high is the tip P of the open bridge above the water?

b. When the bridge is open, what is distance from P to Q?

- trig -
**drwls**, Friday, February 17, 2012 at 6:36am
Does the drawbridge open at the middle, with both ends tilting upward? Where are P and Q?

- trig -
**Steve**, Friday, February 17, 2012 at 3:19pm
Let the open bridge form a trapezoid ABPQ, with bases AB and PQ

AB = 60

AP = QB = 30

height is h such that h/30 = sin 33° = .5446

h = 16.3 ft

PQ = 60 - 2*30*cos33° = 9.7 ft

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