Question

Can someone please help me find the value of x?

Answer 1

We are asked to find the size of a leg in a right angle triangle, This unknown leg is the "adjacent" side to an acute 41 degree angle of the triangle. We also know the size of the leg opposite to the acute angle.

So we can use the "tangent function" via the trigonometric identity shown below:

`\tan (41)=\frac{opposite}{\text{adjacent}}=(31)/(x)`

Therefore, we can solve for the unknown by multiplying by "x" both sides of the equation, and then dividing both sides by tan(41) as shown:

`\begin{gathered} x\cdot\tan (41)=31 \\ x=(31)/(\tan (41)) \\ x=35.661 \end{gathered}`

If they want you to round the answer to ONE decimal, please type :

x = 35.7

Do you know how you are expected to round the answer? Does it state such in the problem?