Question

What’s the answer for this problem? Please I’ve been stuck on this problem for literally an hour and I can’t solve it :(

Answer 1

Given:

In figure

there is a right angle triangle given with one side 16 unit and one angle 42 degree.

Required:

We need to find the value of x which is hypotenuse.

Step-by-step explanation:

In this problem

we have to use the sin formula with angle 42 degree

`\sin\emptyset=\frac{opp\text{ side}}{hypotenuse}`

now put the values

`\begin{gathered} \sin42=(16)/(x) \\ x=(16)/(0.6691)=23.9\approx24 \end{gathered}`

Final answer:

The value of x is

`x=23.9\approx24\text{ units}`