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Nastasia [14]
2 years ago
8

) Find the value of k so that 5x + ky = 20 makes an angle of 60° with x-axis.

Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0

Answer:

k = - 5/√3 = - (5√3)/3

Step-by-step explanation:

5x + ky = 20

y = (- 5/k) * x + (20/k)

Line equation: y = mx + b     m: slope   m = - 5/k

60° with x-axis (suppose it's positive x axis): slope m = tan 60° = √3

- 5/k = √3

k = - 5/√3 = - (5√3)/3

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