express the angle in degree minutes and seconds 39.4769
Answers
Step-by-step explanation:
We have,
Degree×60=Minutes
Minutes×60=Seconds
(a) 11.0133
∘
=(11+0.0133)
∘
=11
∘
+(0.0133×60)
′
=11
∘
+(0.798)
′
=11
∘
+(0+0.798)
′
=11
∘
+(0)
′
+(0.798×60)
′′
=11
∘
+0
′
+47.88
′′
∴11.0133
∘
=11
∘
0
′
47.88
′′
Or 11
∘
0
′
48
′′
approx
(b) 94.3366
∘
=(94+0.3366)
∘
=94
∘
+(0.3366×60)
′
=94
∘
+(20.196)
′
=94
∘
+(20+0.196)
′
=94
∘
+(20)
′
+(0.196×60)
′′
=94
∘
+20
′
+11.76
′′
∴94.3366
∘
=94
∘
20
′
11.76
′′
Or 94
∘
20
′
12
′′
Answer:
The answer is 39° 28minutes 36.84seconds.
Step-by-step explanation:
Considering the angle 39.4769,
The degree is taken the whole number which is 39 therefore 39°.
For minutes, taken the decimal part of the angle and multiply by 60 and from the answer take the whole number part that is 28.
For seconds, multiply the new remaining decimal part by 60 and the answer is 36.84.