Question

Can somebody help me with number 7

Answer 1

Answer:

$x = 16.5$

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:

$\theta = 70^{\circ}$

$Opposite = x$

$Adjacent = 6$

Required

Find x

The relationship between the given parameters is:

$tan(\theta) = \frac{Opposite}{Adjacent}$

This gives:

$tan(70^{\circ}) = \frac{x}{6}$

Multiply both sides by 6

$6 * tan(70^{\circ}) = \frac{x}{6}*6$

$6 * tan(70^{\circ}) = x$

$x = 6 * tan(70^{\circ})$

$tan(70^{\circ}) = 2.7474$

So, we have:

$x = 6 * 2.7474$

$x = 16.4844$

$x = 16.5$ -- approximated