Question

Find the value of x. Round your answer to the nearest tenth. The value of x is about .....

Answer 1

We are asked to find the length of one of the legs of the given right angle triangle by using the measure of the other leg, and the measure of the angle adjacent to the unknown leg "x"

Then, we use the trigonometric ratio which involves the tangent function:

tangent(angle) = opposite side/adjacent side

`\tan (68)=(24)/(x)`

We can solve for the unknown by first multiplying by "x" both sides, and then isolating the unknown as shown below:

`\begin{gathered} \tan (68)=(24)/(x) \\ x\cdot\tan (68)=24 \\ x=(24)/(\tan (68)) \\ x\approx9.6966 \end{gathered}`

Since the image is chopped, could you tell me what they say about the rounding they want? Round the answer to what?

If they want you to round the answer to one decimal (the nearest tenth) then we do:

x = 9.7

if they want us to round it to the nearest whole number, we give:

x = 10