Respuesta :

Answer:

h = 93.88 cm

Step-by-step explanation:

Given that,

The length of the diagonal = 156 cm

The angle of the top corner = 37 degrees

We need to find the height of the TV screen. Let it be h.

The angle of the bottom corner will be equal to 37 degrees as they form alternate angles.

Now, to find h we use trigonometry.

[tex]\sin\theta=\dfrac{P}{H}[/tex]

P is perpendicular height and H is hypotenuse.

We have, P = h and H = 156 cm.

Substituting all the values,

[tex]\sin(37)=\dfrac{h}{156}\\\\h=\sin(37)\times 156\\\\h=93.88\ cm[/tex]

So, the height of TV screen is 93.88 cm.

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