Question

Find the correct values for the variables that make the statement cos(h)=x/y true.

Answer 1

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

$\angle F + \angle G + \angle H = 180^{\circ}$

or

$\angle H = 180^{\circ} -{\angle F + \angle G}$

Substitute the given values from the given figure we have;

$\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}$

$\angle H = 180^{\circ} -{123^{\circ}}$

Simplify:

$\angle H = 57^{\circ}$

Given that:

$\cos H = \frac{x}{y}$

Using Cosine ratio:

$\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

$\cos 57^{\circ}= \frac{x}{80}$

or

$x = \cos 57^{\circ} \cdot 80$  

$x = 0.54463903501 \cdot 80 \approx 43.57$ cm

Therefore, the value of :

$H = 57^{\circ}$

x = 43.57 cm

y = 80 cm

Answer 2

Answer:

On edgeunity H=57 , X=GH , Y=80

the second part is 43.57 cm