Answer:
[tex]x = 16.5[/tex]
Step-by-step explanation:
There is no number 7. The only complete question here is number 12 and the solution is as follows:
The attached figure is a right-angled triangle and the given parameters are:
[tex]\theta = 70^{\circ}[/tex]
[tex]Opposite = x[/tex]
[tex]Adjacent = 6[/tex]
Required
Find x
The relationship between the given parameters is:
[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
This gives:
[tex]tan(70^{\circ}) = \frac{x}{6}[/tex]
Multiply both sides by 6
[tex]6 * tan(70^{\circ}) = \frac{x}{6}*6[/tex]
[tex]6 * tan(70^{\circ}) = x[/tex]
[tex]x = 6 * tan(70^{\circ})[/tex]
[tex]tan(70^{\circ}) = 2.7474[/tex]
So, we have:
[tex]x = 6 * 2.7474[/tex]
[tex]x = 16.4844[/tex]
[tex]x = 16.5[/tex] -- approximated
