Question

Ex. 3) Express the following angles in degrees,
minutes and seconds.
i) 74.87° ii) -30.69470​

Answer 1

i) 74.87°

since it is known that

1°= 60 '(minutes)

1'= 60''(seconds)

therefore this expression can be written as

74°(0.87×60) '

74°(52.2)'

or

74°52'(0.2×60°)

74°52'12"

ii) -30.6940

-30°(0.6940×60)'

-30°(41.64)'

-30°41'(0.64×60)"

-30°41'38"

these are the answers for the que you asked

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Answer 2

i) 74.87°, minutes=4492.2 and seconds=269532.

ii) -30.69470°, ​ minutes=-1841.682 and seconds=-110500.92.

Step-by-step explanation:

Given:

i) 74.87°

As we know that 1°=60 minutes and 1 minute=60 seconds

Therefore,  74.87°= $74.87\times60 minutes$

                              =4492.2 minutes.

And for converting seconds we have to multiply 4492.2 with 60

Therefore, $4492.2\times 60 seconds$

                =269532  seconds.

ii) -30.69470°

∴  -30.69470°=$-30.69470\times60 minutes$

                       =-1841.682 minutes.

And for converting seconds we have to multiply -1841.682 with 60

∴ $-1841.682\times60$

 =-110500.92 seconds.