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Natasha_Volkova [10]
3 years ago
8

Plzzzz help me on this questions fast This is Trigonometry​

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0

Answer:

x = 20.41 units, y = 11.71 units to the nearest hundredth.

Step-by-step explanation:

Consider the small triangle:

cos 20 = 11/y

y = 11 / cos 20

= 11.706 units.

Now the larger triangle:

sin 35 = 11.706 / x

x = 11.706 / sin 35

x = 20.409 units.

Sladkaya [172]3 years ago
5 0

Answer:

x ≈ 20.42, y ≈ 11.71

Step-by-step explanation:

Using the cosine ratio on the right triangle on the right, that is

cos20° = \frac{adjacent}{hypotenuse} = \frac{11}{y}

Multiply both sides by y

y × cos20° = 11 ( divide both sides by cos20° )

y = \frac{11}{cos20} ≈ 11.71

Using the sine ratio on the right triangle on the left, that is

sin35° = \frac{opposite}{hypotenuse} = \frac{y}{x} = \frac{11.71}{x}

Multiply both sides by x

x × sin35° = 11.71 ( divide both sides by sin35° )

x = \frac{11.71}{sin35} ≈ 20.42

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