Math, asked by chkrdhrchkr, 11 months ago

the angle made by line Y is equal to root 3 X + 5 with x axis is​

Answers

Answered by pooja828
5

Step-by-step explanation:

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born2killlll

Secondary School Math 13+7 pts

Find the angle which the straight line y=√3x-4 makes with the y-axis

Report by Lalipremlama5108 06.11.2018

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Sprao534Genius

Slope of given line m=square root 3

Then tan A=square root 3

A=60 degrees

This is angle made by the line with x-axis

Therefore the angle made by the line with y-axis is 30 degrees.

Step-by-step explanation:

Straight line = y=√3x-4 (Given)

The equation y=√3x-4 can be written as 4=√3x-y

Equation to find the slope m = (-a/b)

= m = (-√3/-1)

=√3

Also, the slope m = tan Ф =√3

Since, the value of tan 60° =√3

Therefore, definitely the angle of theta is = 60°

Thus, the straight line makes an angle of 60° with the x-axis.

Since y axis is perpendicular = (90°) with the x-axis, the angle formed by the straight line with y-axis will be 90°-60° = 30°.

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