Answer:
Part 1) The value of w is 13.3 units
Part 2) The value of x is 10.3 units
The answer is the option
w=13.3, x=10.3
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Part 1) Find the value of w
we know that
In the right triangle ABD
tan(42°)=12/w
Solve for w
w=12/tan(42°)=13.3 units
Part 2) Find the value of x
In the right triangle ABC
tan(27°)=12/(w+x)
(w+x)=12/tan(27°)=23.6 units
(w+x)=23.6 units
Solve for x
x=23.6-w
substitute the value of w
x=23.6-13.3=10.3 units