Question

– Realize as seguintes operações com ângulos:
a) 17°20’ + 32°14’
b) 35°32’15’’ + 25°10’55’’
c) 7°10’45’’ + 15°55’25’’
d) 140° - 72°21’
e) 78°28’ – 45°45’
f) 109°59’60’’ – 102°21’17’’
g) 8 . (2°10’07’’)
h) 6 . (17°21’32’’)
i) (26°36’40’’) : 5
j) 11° : 8

Answer 1

Resposta:

Explicação passo-a-passo:

a) 17°20’ + 32°14’

= 17°+32°

= 49°

20'+14'

= 34'

= 49° 34'

R.: 49°34'

___________

b) 35°32’15’’ + 25°10’55’’

15" + 55"

= 70"

= 60" + 10"

= 1' 10"

32'+10'

= 42'

= 35+25

= 60°

= 60° 42' 1' 10"

= 60° 43' 10"

R.: 60° 43' 10"

_______________

c) 7°10’45’’ + 15°55’25’’

= 7°+15°

= 22°

10' + 55' = 65'

60' + 5'

= 1° 5'

= 45" + 25"

= 70"

= 60" 10"

= 1' 10"

= 22° + 1° 5' + 1' 10"

= 23° 6' 10"

R.: 23° 6' 10"

______________

d) 140° - 72°21’

= 139°1° - 72° 21'

= 139°60' - 72°21'

= 67° 39'

R.: 67° 39'

_______________

e) 78°28’ – 45°45’

78° 28' - 45° 45'

77° 60' 28' - 45° 45'

77° 88' - 45° 45'

= 77° - 45° = 32°

88-45= 43'

R.: 32° 43'

_____________

f) 109°59’60’’ – 102°21’17’’

109-102 = 7°

59-21= 38'

60-17 = 43"

R.: 7° 38' 43"

______________

g) 8 . (2°10’07’’)

8.2°

= 16°

8.10'

= 80'

60'+20'

= 1°20'

8.7" = 56"

= 16° 1° 20' 56"

= 17° 20' 56"

R.: 17° 20' 56"

_____________

h) 6 . (17°21’32’’)

6 x 17°

= 102°

21' x 6

= 126'

= 120' + 6'

= 2° 6'

= 32" . 6

= 192"

= 180" + 12"

= 3.60" + 12"

= 3' 12"

= 102° + 2° 6' + 3' 12"

= 104° 9' 12"

R.: 104° 9' 12"

_____________

i) (26°36’40’’) : 5

25° + 1°

= 25° : 5

= 5°

1°

1°+36'

= 60'+36' = 96'

95': 5

= 19'

1' + 40"

= 60"+40"

= 100" : 5

= 20"

R.: 5° 19' 20"

___________

j) 11° : 8

8° / 8

= 1°

3°

= 3.60'

= 180'

160' : 8 = 20'

20' = 20.60"

1200" : 8

150"

= 120" + 30"

= 2' 30"

1° 20' 2' 30"

= 1° 22' 30"

Prova real:

1° x 8 = 8°

22' x 8 = 176' = 120' + 56' = 2° 56'

30" x 8 = 240" = 4.60" = 4'

Somando as partes:

= 8° 2° 56' 4'

= 10° 60'

= 10° 1°

= 11°

R.: 1° 22' 30"