Quiz: Quiz 9 (8.1, 8.2, 8.3) Time Limit: 00:30:00 Submit Quiz This Question: 1 p
ID: 3019255 • Letter: Q
Question
Quiz: Quiz 9 (8.1, 8.2, 8.3) Time Limit: 00:30:00 Submit Quiz This Question: 1 pt 3 of 9 (4 c This Quiz: 9 pts possibl A zoo is area, with the bam forming one side of the triangle. The maintenance department has only 127 ft of fencing in stock. If one of thesides of the outdoor pen is 71 ft and the angle that it makes with the ban is 73, does the zoo need to order more fencing? a new giraffe exhibit and needs to fence an outdoor triangular Bam I - -71 ft Type integers or decimals rounded to three decimal places as needed.) O A. No, the zoo does not need to order more fencing. The zoo has ft of fence remaining for the unknown side. If the unknown side is assumed to have this length, a triangle can be formed with H OB. Yes, the zoo needs to order more fencing. The zoo has ft of fence remaining for the unknown side. If the unknown side is assumed to have this length, formed. Click to select and enter your answer(s).Explanation / Answer
minimum length of fence required for unknown side= 71*sin(73o)
minimum length of fence required for unknown side = 67.90 ft
the length of fence available for unknown side =127-71
the length of fence available for unknown side =56ft
length of fence available for unknown side is less than the length of fence required for unknown side
by law of sines 71/sinH= 56/sin73o
=>sinH=71csc73o/56
=>sinH=1.326
yes zoo needs more fencing.the zoo has 56ft of fencing remaining for unknown side. if the unknown side is assumed to have this length sin(H) =71csc73o/56=1.326 ,which is not possible , so the triangle cannot be formed
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