Question

Top side length is 23.4ft. You can use the Pythagorean Theorem or the Cosine ratio or the Sine ration to solve for the remaining side. What is the remaining side (hypotenuse)? Round the answer to one decimal place.

Answer 1

Answer:

The Hypotenuse = 38.1 feet

Explanations:

From the diagram shown:

The adjacent side, A = 30 ft

Let

Let the side facing <38° be represented by B

Let the hypotenuse side be C

The right angle is facing the hypotenuse.

Sum of angles in a triangle = 180°

To calculate the hypotenuse side C, use the sine rule formula below:

`\begin{gathered} (\sin c)/(C)=\text{ }(\sin a)/(A) \\ (\sin 90)/(C)=\text{ }(\sin 52)/(30) \\ (1)/(C)=\text{ }(0.788)/(30) \\ 0.788C\text{ = 30} \\ C\text{ = }(30)/(0.788) \\ C=38.1^{} \end{gathered}`

The Hypotenuse = 38.1 feet