Question

The value of of dimension x

Answer 1

The composite figure has a missing length of 3.539 units.

How to determine the missing length of a composite figure

In this problem we need to determine the missing length of a composite figure, this can be done by means of known dimensions and trigonometric functions. The length formula is introduced below:

x = 8.500 - 2 · 0.750 - x₁ - x₂

Where:

`x_1 = (3.900 - 1.800)/(\tan 34^(\circ))`

x₁ = 3.113

`x_2 = (2.870 - 1.800)/(\tan 72^(\circ))`

x₂ = 0.348

Then, the missing length of the composite figure is:

x = 8.500 - 2 · 0.750 - 3.113 - 0.348

x = 3.539

The composite figure has a length equal to 3.539 units.