Question

find the slope of a line which makes of an
angle of 30 with the positione direction
axos.​

Answer 1

Answer:

The student council of your school has to select its president.

Many students have forwarded their names for the voting process. You, as a nominee, after

motivate the students to vote for you. Write a speech in about 100-120 words. Stating the reasons

why you should be selected, your positive points etc.

Answer 2

Answer:

-√3.

Step-by-step explanation:

Given, the line makes an 30° with the positive direction of y-axis measured anticlockwise.

Let the line makes an angle θ with the positive direction of x-axis.

From the above figure, we get

∠OAB = 30°    (Vertically opposite angle)

In ΔAOB, ∠ABO + 30° + 90° = 180°

⇒ ∠ABO = 180° – 120° = 60°

∴ θ = 180°  – ∠ABO = 180° – 60° = 120°

Slope of the line = tan120° = tan (180° – 60°) = –tan60° = -√3

Thus, the slope of the line is -√3.

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