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3 years ago

10

HELP ASAP!!! HELP FAST PLEEASE!!!

1 answer:

expeople1 [14]3 years ago

8 0

Answer:

e.

Step-by-step explanation:

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Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

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Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

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3 years ago