Step-by-step explanation:
12. Cos 60° = 8/c
0,5 = 8/c
0,5 c = 8
c = 16
D² = V16²-8²
= V256-64
=V192 = V16×12 = 4V12
= 4V4×3 = 8V3
13. Cos 30° = 6/b
V3/2 = 6/b
V3 b = 12
b = 12/V3
b/Sin B = a /sin A
b/Sin90° = 6/ sin 60°
<u>b</u> = <u> </u><u> </u><u> </u><u>6</u><u> </u><u> </u><u> </u>
1 V3/2
b× <u>V3</u> = 6
2
b = 6× 2/V3
= 12/V3
Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height =
centimeters and Jim's current height =
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height =
centimeters,
Lisa's height =
centimeters and
Jim's height =
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

So, the current height of Lan is 146 centimeters.
You should add them up both of the sides