Answer:
x = 35.98
Step-by-step explanation:
The given triangle is a right angle triangle.
From the given right angle triangle
The unlabelled side represents the hypotenuse of the right angle triangle.
With 17 degrees as the reference angle,
x represents the adjacent side of the right angle triangle.
The length of the opposite side of the right angle triangle is 11
θ = 17 degrees
To determine x, we would apply trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan 17= 11/x
0.3057 = 11/x
Crossmultiplying,
0.3057x = 11
x = 11/0.3057 = 35.98
