What are the values of w and x in the triangle below? round the answers to the nearest tenth.
w = 13.3; x = 10.3
w = 10.8; x = 6.1
w = 13.3; x = 23.6
w = 10.8; x = 16.9

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