Question

30 Find the angle which the straight line Y = √3x-4 makes with the y-axis as I b 7 ) It c) T 4 d. ​

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: given \: equation \: is \\ y = \sqrt{3} x - 4 \\ \\ comparing \: it \: with \: slope \: intercept \: form \: ie \: \\ with \: \: y = mx + x \\ we \: have \: then \\ \\ y = 1 \\ m = \sqrt{3} \\ c = - 4 \\ \\ so \: here \: slope \: (m) = \sqrt{3} \\ we \: know \: that \\ tan \: 60 = \sqrt{3} \\ hence \: accordingly \\ \\ θ = 60$

$so \: thus \: then \\ as \: this \: is \: angle \: made \: with \: x - axis \\ we \: know \: that \\ complement \: of \: 60 = 30 \\ \\ hence \: angle \: made \: with \: y - axis \: is \: \: 30$