Question

Determine o valor de M e N na figura:

Answer 1

(a)Resolvendo :
.....============
vamos aplicar lei dos Senos na siguinte maneira :

......m.....................6
_______ = _______
Sen 135¤.......Sen 30¤

...m..............6
____ = ____
\/2/2..........1/2

1/2 x m = 6 x \/2/2

m/2 = 6 x \/2 /2

2m = 2(6\/2)

2m = 12\/2

m = 12.\/2 / 2

m = 6\/2

(b) Resolvendo :
......============
......X.....................12
_______ = _______
Sen 30¤.........Cos 30¤

.X...........12
__ = ____
1/2.......\/3/2

\/3.X/2 = 1/2 x 12

\/3.X/2 = 12/2

2.\/3.X = 12(2)

2.\/3.X = 24

X = 24
........ ____
...........2.\/3

X = 24.........2.\/3
....... _____ . ____
...........2.\/3........2.\/3

X = 48.\/3
........_____
..........4 x 3

X = 48.\/3
........_____
.............12

X = 4.\/3


Sen 30¤ = m
....................._____
.........................X

Sen 30¤ = m
......................____
.......................4\/3

1.........m
_ = ___
2.......4\/3

2m = 4\/3

m = 4\/3
.........____
.............2

m = 2\/3