Question

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!

Answer 1

1st part is the answer

Answer 2

Answer:

Since the triangle is right angled,Here we can use trigonometry

so here we need to find x and y

case 01 - to find x

tan 60° = opposite side / adjacent side

Tan 60° = 3√6 / x

(Tan 60°= √3)

so,

√3 = 3√6 / x

x = 3√6 / √3

rationalising the denominator

x = 3√6 / √3 * √3/√3

x = 3*√6*√3 / 3

x = √18

that is, x = 3√2

case 02 - to find y

sin 60° = opposite side / hypotenuse side

sin 60° = 3√6 / y

(sin 60°= √3/2)

so,

√3/2 = 3√6 / y

y = 3√6*2 / √3

y = 6√6 / √3

rationalising the denominator

y = 6√6 / √3 * √3/√3

y = 6*√6*√3 / 3

y = 2√18

that is, y = 6√2

therefore  x = 3√2 and y = 6√2

hope it helps you  

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