Question

What are the values of w and x in the triangle below? Answers are as above

Answer 1

W can be represented in the following equation: 14/tan 38°=w
Since tan 38 equals 0.78128563, we divide 14 by 0.78128563 which gives a value of 17.91
W= 17.91

W+X (which is the whole lenght) can be represented in the equation: w+x=14/tan 19°
So
17.9+X=14/0.34432761
we isolate for x and obtain
X= 40.65-17.9
X=22.75 (which we round to 22.8)

So  the answer is option 4:
w = 17.9; x = 22.8