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If S is the angle formed by the line 2y=...

If S is the angle formed by the line `2y=3x+7 and ` the axis, then `angleA` equals

A

`-45^(@)`

B

`0^(@)`

C

`56^(@)`

D

`72^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Solve for y: `y=(3)/(2)x+(7)/(2)`. Slope `=(Deltay)/(Deltax)=(3)/(2)`. Tan A also equals `(Deltay)/(Deltax)`. Therefore, `"tan A"=(3)/(2)`. `Tan^(-1)((3)/(2))=angleA ~~56^(@)`.
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