SOLUTION: Reduce angles in terms of π and decimal 1.) 145⁰ 2.) 10⁰ 14' 3.) 56⁰ 13' 4" thank you!!!!!

Algebra.Com
Question 892705: Reduce angles in terms of π and decimal
1.) 145⁰
2.) 10⁰ 14'
3.) 56⁰ 13' 4"
thank you!!!!!
Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
It helps to draw the angle on
a unit circle, approximately
------------------------
1)
145 degrees is 35 degrees short
of 180 degrees
( )
and
I can use radian / degrees
as a multiplier without changing values




--------------------
2)
Note that 1' is degree
= ( fraction of a degree )x( radians/degree )


and



-----------------------------------
3)
4" is of a degree (



and



and


adding up:

( more decimal points available )
--------------
check my math


Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you can convert these degrees into radians by multiplying by pi and dividing by 180

degrees * pi / 180 = radians

radians * 180 / pi = degrees

you can convert degrees and minutes into degrees by dividing the minutes by 60 and adding them to the degrees.

you can convert degrees and minutes and seconds into degrees by dividing the minutes by 60 and adding them to the degrees and then dividing the seconds by 3600 and adding them to the degrees.

problem 1:

145 degrees * pi / 180 = .8055555... * pi radians.

problem 2:

10 degrees 14 minutes = 10 degrees + 14/60 degrees = 10.233333.... degrees * pi / 180 = .05685185... * pi radians.

problem 3:

56 degrees 13 minutes 4 seconds = 56 degrees + 13/60 degrees + 4/3600 degrees = 56.2233333.... degrees * pi / 180 = .31235185... * pi radians



RELATED QUESTIONS

10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times... (answered by drj)
What is the remainder when 4¹⁰⁰ is divided by 10? For how many different... (answered by Edwin McCravy)
Can you help me to simplify these two negative exponents. 8000(4⁰)... (answered by richwmiller)
Can you give me a different answer please, this answer was wrong 1/800... (answered by Fombitz)
The chirping rate of a cricket depends on the temperature. A species of tree cricket... (answered by Boreal)
Can you help me to simplify this negative exponent.... (answered by Fombitz)
In ∆XYZ, x=9ft, y=22ft,and Z=109⁰. Find the area (answered by stanbon)
find the complementary angle of the given angle. 31 2⁰/5 (answered by stanbon)
Can you solve and order the following numbers from least to greatest 0.98 X... (answered by Fombitz)