belaln04
belaln04 belaln04
  • 23-05-2021
  • Mathematics
contestada

In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.

Respuesta :

AFOKE88 AFOKE88
  • 28-05-2021

The image of the triangle is missing so i have attached it.

Answer:

ZY ≈ 391

Step-by-step explanation:

From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°

Now, similarly ∠XZY = 180 - (40 + 90) = 50°

Using sine rule, we can find WZ;

WZ/sin 40 = XW/sin 50

We are given XW = 600

Thus;

WZ = (600 × sin 40)/sin 50

WZ = 503.5

Now, ZY can be found using trigonometric ratios;

ZY/WZ = sin 51°

Thus;

ZY = 503.5 × sin 51

ZY ≈ 391

Ver imagen AFOKE88
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