Question

If the side opposite to the 72° angle is 42 units, what is the length of the hypotenuse

Answer 1

44.21 units

Step-by-step explanation:

For a right angle with an angle of 72 degrees:

`\frac{\text{Opposite}}{\text{Hypotenuse}}=(19)/(20)`

Given that the side opposite to the 72° angle = 42 units

`\begin{gathered} \implies(19)/(20)=\frac{42}{\text{Hypotenuse}} \\ \text{Hypotenuse}*19=20*42 \\ \text{Hypotenuse}=(20*42)/(19) \\ \text{Hypotenuse}=44.21 \end{gathered}`

The length of the hypotenuse is 44.21 units.