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emmasim [6.3K]
4 years ago
6

PLEASE HELP!!!! The question is in the picture.

Mathematics
1 answer:
oee [108]4 years ago
8 0
2 and 3 are both 58 as well. For 4 do 180-58 because a straight line is 180 degrees.
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Find the correct values for the variables that make the statement cos(h)=x/y true.
Stels [109]

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;

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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





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