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3 years ago

Use Special triangles to find the lengths W and Y.

Mathematics

1 answer:

pshichka [43]3 years ago

8 0

Answer:

The answer to your question is y = 6.54, w = 11.31

Step-by-step explanation:

Process

1.- Find the length of the opposite side of the left triangle

sin Ф = Opposite side/hypotenuse

Ф = 45°

hypotenuse = 8

-Solve for Opposite side

Opposite side = hypotenuse x sin Ф

-Simplify

Opposite side = 8 sin45

-Result

Opposite side = 5.66

2.- Find w

-To find w use the trigonometric function sine

sin Ф = Opposite side / hypotenuse (w)

-Solve for w

w = Opposite side/sin Ф

-Substitution

w = 5.66/ sin 30

-Result

w = 11.31

3.- Find y

-To find y use the trigonometric function cosine

cos Ф = Opposite side / Adjacent side (y)

-Solve for y

y = Opposite side / cos Ф

-Substitution

y = 5.66 / cos 30

-Result

y = 6.54

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