Measurement of complementary angle of 35° 35' 35" is (a) 54°24' 25" (b) 54°25' 25" (c) 55°25' 25" (d) none of these
Answers
Answer:
D .none of the above
Step-by-step explanation:
A)35+35+35=115
B)54+24+25=103
C)54+25+25=94
Answer:
Option (d)
Step-by-step explanation:
Complementary angles are a pair of angles which on adding gives 90° as a result.
Given angle = 35° 35' 35"
Hence, it's complementary angle can be calculated as follows,
90° - 35° 35' 35"
= 90° 00' 00" - 35° 35' 35"
Before proceeding further let's convert both the above values into seconds,
= (90 * 60)' 00" - (35 * 60 + 35)' 35"
= 5400' 00" - (2100 + 35)' 35"
= (5400 * 60)" - (2135 * 35)"
= 324000" - 74725"
= 249275"
Hence, the required result is 249275".
We can also convert the result in terms of angles, minutes and seconds.
After converting in terms of angles, minutes and seconds,
Required result = 69° 14' 35"
Therefore, correct option is option (d) i.e. None of these.