Answer:
x ≈ 44.80
Step-by-step explanation:
As it's a right angle triangle so we will use rules of trigonometry.
The tangent of the angle = the length of the opposite side /
the length of the adjacent side
First we need to find angle z
angle z
52° + z° + 90° = 180° sum of angles of triangle
142° + z° = 180°
z° = 180 - 142
z° = 38°
x
Tan z° = opp / adj
Tan 38° = 35 / x
x = 35 / Tan 38°
x = 35 / 0.78
x = 44.7979
x ≈ 44.80 (correct to 2 decimal place)
