Question

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

Answer 1

Answer:

44.21 units

Explanation:

For a right angle with an angle of 72 degrees:

$\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{19}{20}$

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

$\begin{gathered} \implies\frac{19}{20}=\frac{42}{\text{Hypotenuse}} \\ \text{Hypotenuse}\times19=20\times42 \\ \text{Hypotenuse}=\frac{20\times42}{19} \\ \text{Hypotenuse}=44.21 \end{gathered}$

The length of the hypotenuse is 44.21 units.