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balandron [24]
2 years ago
9

15. Find the value of x and y rounded to the nearest tenth. X 34 45° 30° y

Mathematics
1 answer:
Ugo [173]2 years ago
6 0

Answer:

x = 24.0

y = 46.4

Step-by-step explanation:

Let opposite side = z

Using trigonometry :

Sin 30 = z / 34

z = 0.5 * 34

z = 17

We find x :

Sin 45 = 17 / x

x * sin45 = 17

x = 17 / sin 45

x = 24.04

Let y = y1 + y2

y1 = 17 / tan45

y1 = 17

y2 = 17/tan30

y2 = 29.44

y = 17 + 29.44

y = 46.44

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