Mark the position of the revolving line when it has traced out the following angles:
1. $\frac{4}{3}$ right angle.
2. $3 \frac{1}{2}$ right angles.
3. $13 \frac{1}{3}$ right angles.
4. $12 0^{\circ}$
5. $31 5^{\circ}$
6. $74 5^{\circ}$
7. $118 5^{\circ}$
8. $15 0^{g}$
9. $42 0^{g}$
10. $87 5^{g}$ .

Question

Mark the position of the revolving line when it has traced out the following angles:
1.

\frac{4}{3}

right angle.
2.

3 \frac{1}{2}

right angles.
3.

13 \frac{1}{3}

right angles.
4.

12 0^{\circ}

5.

31 5^{\circ}

6.

74 5^{\circ}

7.

118 5^{\circ}

8.

15 0^{g}

9.

42 0^{g}

10.

87 5^{g}

.

Filo · Accepted Answer

1.  34​ right angle = 131​ rt. angle =(90o+30o)Here, since the revolving line makes an angle more than one and less than two right angles with the original line, hence it will be in the second quadrant.2. 321​ right angle =3 right angle +45oHere, since revolving line makes an angle greater than three and less than four right angles with the given line, hence it will lie in the fourth quadrant.3.  1331​ right angle =12 right angle +131​ right angle.Here, since the revolving line makes three complete revolutions and 131​ right angle with the base, hence revolving line is in second quadrant.4.  120o=90o+30oHere, since revolving line makes an angle greater than one right angle and less than 2 right angles, hence it will lie in the fourth quadrant.5.  315o=270o+45o=3 right angle +45oHere, since the revolving line makes an angle greater than three and less than four right angles with the given straight line, hence it will lie in the fourth quadrant.6.  745o=2×360o+25oHere, since revolving makes two complete  revolutions and an angle of 25o from its original position, hence in the final position revolving line will lie in the first quadrant.7.  1185o=3×360o+(90o+15o)Here, since revolving line makes two complete revolutions and an angle of 15o more than a right angle with its original position, hence it will lie in the second quadrant.8.  150g=100150​ right angles =121​ right anglesHere, since revolving line here makes an angle of 21​ right angle more than a right angle, hence revolving line will lie in the second quadrant.9.  420g=100420​ right angle 451​ right angles.Here, since revolving line makes one complete revolution and an angle of 18o, hence in the final position the revolution line will be found in the first quadrant.10.  875g=100875​ right angles =8.75 right angles.Here, since revolving line makes two complete revolutions and an angle 67.5o, hence the revolving line will lie in the first quadrant.

Question Text	Mark the position of the revolving line when it has traced out the following angles: 1. $\frac{4}{3}$ right angle. 2. $3 \frac{1}{2}$ right angles. 3. $13 \frac{1}{3}$ right angles. 4. $12 0^{\circ}$ 5. $31 5^{\circ}$ 6. $74 5^{\circ}$ 7. $118 5^{\circ}$ 8. $15 0^{g}$ 9. $42 0^{g}$ 10. $87 5^{g}$ .
Answer Type	Text solution:1
Upvotes	150

Mark the position of the revolving line when it has traced out the following angles:
1. $\frac{4}{3}$ right angle.
2. $3 \frac{1}{2}$ right angles.
3. $13 \frac{1}{3}$ right angles.
4. $12 0^{\circ}$
5. $31 5^{\circ}$
6. $74 5^{\circ}$
7. $118 5^{\circ}$
8. $15 0^{g}$
9. $42 0^{g}$
10. $87 5^{g}$ .

Text solutionVerified

Practice questions from similar books

Mark the position of the revolving line when it has traced out the following angles:1. 34​ right angle.2. 321​ right angles.3. 1331​ right angles.4. 120∘5. 315∘6. 745∘7. 1185∘8. 150g9. 420g10. 875g.

Text solutionVerified

Practice questions from similar books

Mark the position of the revolving line when it has traced out the following angles:
1. $\frac{4}{3}$ right angle.
2. $3 \frac{1}{2}$ right angles.
3. $13 \frac{1}{3}$ right angles.
4. $12 0^{\circ}$
5. $31 5^{\circ}$
6. $74 5^{\circ}$
7. $118 5^{\circ}$
8. $15 0^{g}$
9. $42 0^{g}$
10. $87 5^{g}$ .