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23-05-2021
Mathematics

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

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

Respuesta :

28-05-2021

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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