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Find the value of x and y. Write your answers in simplest form

Find the value of x and y. Write your answers in simplest form-example-1

2 Answers

3 votes
x
=
7

3
,
y
=
14 hopefully it’s correct stream Nicki
User Marius Tibeica
by
8.4k points
2 votes

Answer:

x = 16, y = 8
√(3)

Explanation:

Using the sine ratio in the right triangle and the exact value

sin30° =
(1)/(2) , then

sin30° =
(opposite)/(hypotenuse) =
(8)/(x) =
(1)/(2) ( cross- multiply )

x = 16

----------------------------------------------------------

Using Pythagoras' identity in the right triangle

y² + 8² = 16²

y² + 64 = 256 ( subtract 64 from both sides )

y² = 192 ( take the square root of both sides )

y =
√(192) =
√(64(3)) = 8
√(3)

User RarrRarrRarr
by
8.3k points

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