Question

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

Answer 1

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