Question

Please look at photo for further clarification, the length of a conduit is needed for sections and be shown in the picture. you may round the final answer to the nearest hundred if needed as well as all the intermediate values rounded to the nearest hundred if needed.

Answer 1

Using trigonometric functions :

From the problem, we have a hypotenuse of 22.25 cm and an angle of 31°28'

To find A, we will use the sine function :

`\begin{gathered} \sin 31^(\circ)28^(\prime)=(A)/(22.25) \\ A=22.25\sin 31^(\circ)28^(\prime) \\ A=11.615 \end{gathered}`

To find B, we will use the cosine function :

`\begin{gathered} \cos 31^(\circ)28^(\prime)=(B)/(22.25) \\ B=22.25\cos 31^(\circ)28^(\prime) \\ B=18.978 \end{gathered}`

The total length is the sum of A and B :

A + B = 11.615 + 18.978 = 30.59

The answer is 30.59 cm