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
Answer Link

Otras preguntas

Explain how Frederick I and Frederick William I were able to enhance Prussia's reputation in 18th century Europe.
While De Vaca spent years making his way to New Spain, he also?
in the book animals, farm blind trust is one of the reasons why the animals are driven into oppression. but WHY?
If anybody could help me it would mean a lot lol 'pt 2'
IF YOU HAVE L MINES IS
WILL GIVE CROWN HELP ASAP Which set of laws governed ancient Babylon and included the idea of “an eye for an eye”? Sublimus Dei Draconian Laws Sicut Judaeis Ham
Sodium metal reacts violently with water and chlorine is a toxic gas, yet we eat sodium chloride. Why is this possible? Select one: a. The properties of compoun
A shirt cost $2 less than three-fourths the price of a pair of pants. If the shirt cost $7 what is the cost of a pair of pants?
Solve for x -10 + x = -12
a) Convert 40° C to °F​