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25 votes
25 votes
In the following diagram, D Z B 30° 60° 150 a A i) Value of y = ii) Value of : (to the nearest tenth) =

User Alejandro Piad
by
2.2k points

1 Answer

27 votes
27 votes

Bricjk Ranger, this is the solution:

Part i.

y = Hypotenuse * sin (30)

y = 150 * 0.5

y = 75

Part ii.

Step 1: Let's calculate the lenght of the hypotenuse, as follows:

Hypotenuse or AB = 75/sin (60)

Hypotenuse or AB = 86.6 (to the nearest tenth)

Step 2: Now we can calculate the value of z, this way:

z = √86.6² - 75²

z = √7,500 - 5,625

z = √1,875

z = 43.3

User Comzyh
by
3.0k points
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