Respuesta :

Ashraf82

Answer:

The answer is (D) ⇒ x = 15 and y = 5√3

Step-by-step explanation:

∵The triangle is right angle Δ

∵ measure of an angle is 60°

Use trigonometry functions to find x and y

∵ sin60° = x/10√3

∴ x = 10√3 × sin60° = 15

∴ x = 15

∵ cos60° = y/10√3

∴ y = 10√3 × cos60° = 5√3

∴ y = 5√3

alinakincsem

Answer:

The correct answer option is D. x = 15, y = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

We are given a right angled triangle with one known angle, 60°, and one known side, [tex]10\sqrt{3}[/tex] which is the hypotenuse and we are to find the remaining two side lengths.

Using sine to find x:

[tex]sin 60=\frac{x}{10\sqrt{3} }[/tex]

[tex]x=sin60[/tex] × [tex]10\sqrt{3}[/tex]

[tex]x=15[/tex]

Using cos to find y:

[tex]cos 60 = \frac{y}{10\sqrt{3} }[/tex]

[tex]y=cos 60[/tex] × [tex]10\sqrt{3}[/tex]

[tex]y=\frac{1}{2}[/tex] × [tex]10\sqrt{3}[/tex]

[tex]y=5\sqrt{3}[/tex]

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