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Find out x and y.

( Explain how you got the answer).

Thanks.

Find out x and y. ( Explain how you got the answer). Thanks.-example-1
User ACcreator
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1 Answer

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Using the trigonometric ratios, the values of x and y are: x = 8√5 and y = 8√15.

How to find the values of x and y using trigonometric ratios?

Let's find the value of the hypotenuse of the triangle where x and y lie. In the other triangle, it is one of its legs.

Using cosine ratio [cos ∅ = adj/hyp], we have:

∅ = 45°

adj = ?

hyp = 16√10

Substitute:

cos 45 = adj/16√10

cos 45 * 16√10 = adj

1/√2 * 16√10 = adj

adj = 16√10 / √2 * √2 / √2

adj = 16√5

Find x using the sine ratio:

Sin 30 = opp/hyp

sin 30 = x/16√5

sin 30 * 16√5 = x

1/2 * 16√5 = x

x = 8√5

Find y using the tangent ratio:

tan 30 = opp/adj

tan 30 = x/y

tan 30 = 8√5 / y

y * tan 30 = 8√5

y = 8√5 / tan 30

y = 8√5 / 1/√3

y = 8√5 * √3

y = 8√15

User Jose Raul Barreras
by
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