Question

Q.4
Express the following angles in degree,
minute and second.
i) (183.7)° ii) (245.33)° iii) (1/5)​

Answer 1

Answer:

These are the answers.

Hope this helps you

Answer 2

(i) 183° 42'

(ii) 245° 19' 48''

(iii) 11° 27'

Step-by-step explanation:

1 degree = 60 minutes of arc and 1 minute = 60 seconds of arc,

(i) (183.7)°,

$=183^{\circ}+(0.7)^{\circ}$

$=183^{\circ}+(0.7\times 60)'$

$=183^{\circ}+42'$

= 183° 42'

(ii) (245.33)°,

$=245^{\circ}+(0.33)^{\circ}$

$=245^{\circ}+(0.33\times 60)'$

$=245^{\circ}+19.8'$

$=245^{\circ}+19'+0.8'$

$=245^{\circ}+19'+(0.8\times 60)''$

$=245^{\circ}+19'+48''$

= 245° 19' 48''

(iii) $(\frac{1}{5})$,

$=(\frac{1}{5}\times \frac{180}{\pi})^{\circ}$

$=(\frac{36}{\pi})^{\circ}$

$=(\frac{36\times 7}{22})^{\circ}$

$=(\frac{126}{11})^{\circ}$

$=11.45^{\circ}$

$=11^{\circ}+(0.45)^{\circ}$

$=11^{\circ}+(60\times 0.45)'$

= 11° 27'

#Learn more:

Convert radian to degree :

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