Messed up and didnt put the attachment on the last post
1 answer:
<u>Answer</u> <u> </u> <u>:</u> <u>-</u>
9(3+√3) feet
<u>Step </u> <u>by</u> <u> step</u> <u> explanation</u> <u> </u> <u>:</u> <u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
= > AB = 9 f t .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
= > BC = 9 √ 3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u> <u>the</u> <u> </u> <u>perim</u> <u>eter</u> <u> of</u> <u> the</u> <u> </u> <u>triangular</u> <u> </u> <u>pathway</u> <u> </u> <u>shown</u> <u> </u> <u>is</u> <u> </u> <u>9</u> <u> </u> <u>(</u> <u> </u> <u>3</u> <u> </u> <u>+</u> <u> </u> <u>√</u> <u>3</u> <u> </u> <u>)</u> <u> </u> <u>ft</u> <u> </u> <u>.</u> </h3>
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