Question

Find the values of w, x and z

Answer 1

z = 2√2

w = 4√2

x = 2√6

Explanation:

ADC is a right angled triangle at D.

Then

z = 4 × sin(45)

= 4 × sin(45)

`=4 * (√(2) )/(2)`

`=2√(2)`

`w = (z)/(\sin(30))`

`= (2√(2) )/((1)/(2))`

`= 4√(2)`

x = w × cos(30)

= 4√2 × cos(30)

`= 4√(2) * (√(3))/(2)`

`= 2 √(6)`