💥 Q 47 Prep 3 Geometry Question Bank T1

a) Using the calculator, find the measure of the positive angle which the straight line (whose slope is \( m = 0.3 \)) makes with the positive direction of \( X \)-axis.

(a) \( 15^\circ\,13'\,48'' \)

(b) \( 16^\circ\,41'\,57'' \)

(c) \( 17^\circ\,27'\,12'' \)

(d) \( 18^\circ\,55'\,19'' \)

MR/Nasef.N

b) Using the calculator, find the measure of the positive angle which the straight line (whose slope is \( m = 0.3673 \)) makes with the positive direction of \( X \)-axis.

(a) \( 19^\circ\,15'\,00'' \)

(b) \( 20^\circ\,10'\,48'' \)

(c) \( 21^\circ\,04'\,12'' \)

(d) \( 22^\circ\,09'\,36'' \)

MR/Nasef.N

c) Using the calculator, find the measure of the positive angle which the straight line (whose slope is \( m = 1.0246 \)) makes with the positive direction of \( X \)-axis.

(a) \( 44^\circ\,07'\,12'' \)

(b) \( 45^\circ\,42'\,36'' \)

(c) \( 46^\circ\,53'\,24'' \)

(d) \( 47^\circ\,39'\,00'' \)

Correct Answers:
a) (b) \( 16^\circ\,41'\,57'' \)
b) (b) \( 20^\circ\,10'\,48'' \)
c) (b) \( 45^\circ\,42'\,36'' \)