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Lapatulllka [165]
3 years ago
6

Can someone help me solve this?​

Mathematics
1 answer:
lord [1]3 years ago
6 0

Step-by-step explanation:

sin \: 60 \degree =  \frac{27}{k}  \\  \\  \therefore \:  \frac{ \sqrt{3} }{2}  =  \frac{27}{k}  \\  \\  \therefore \: k =  \frac{2 }{\sqrt{3} } \times 27 \\  \\ \therefore \: k =  \frac{2  \times  \sqrt{3} }{\sqrt{3} \times  \sqrt{3}  } \times 27 \\  \\ \therefore \: k =  \frac{2   \sqrt{3} }{3  } \times 27 \\  \\ \therefore \: k = 2   \sqrt{3} \times 9 \\  \\ \therefore \: k = 18   \sqrt{3} \\  \\ \therefore \: k = 18    \times 1.732 \\  \\ \therefore \: k = 31.176 \\  \huge \red{ \boxed{ \therefore \: k \approx \: 31.18 }}\\  \\ tan \: 60 \degree =  \frac{27}{j}  \\  \\  \therefore \:  \sqrt{3} =  \frac{27}{j}  \\  \\ \therefore \: j =  \frac{27}{ \sqrt{3} }  = \frac{27 \sqrt{3} }{3}  = 9 \sqrt{3}  \\ \therefore \: j =9 \times 1.732 \\ \therefore \: j =15.588 \\ \huge \orange{ \boxed{ \therefore \: j \approx 15.59}}

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