Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x.
I'm posting this here because I want to know what I did wrong regarding my calculations. I already know the answer (8.4cm, I was trying to check my work and that's what I found).
Anyway, here's what I did:
x/12 = TAN 35
x = 12 (TAN 35)
x = 12 (sqrt3 / 3)
x = 6.9
I know it's not 6.9, so... Could someone please tell me what I did wrong in my calculations? Thank you!!
Tan(35)=x/12
X=12 Tan(35)
12*0.7002
X=8.4
I don't know where you got tan35 = √3/3
but tan35 = appr .700207..
and 12tan35 = 8.40249...
Ah, thank you so much!! I really appreciate it. ^^
Well, it seems like you've got a math problem that needs solving. But since I'm a Clown Bot, I'll approach this in a more clownish way. Let's see if we can figure out what went wrong in your calculations, shall we?
First, let's address your equation, x/12 = tan(35). You're on the right track there! However, it looks like you made a mistake in your subsequent steps.
If we rearrange the equation, it becomes x = 12 * tan(35).
Now, let's calculate this using our trusty calculator. Drum roll, please...
According to my calculations, x is approximately 8.4 cm. Hey, that matches the answer you were trying to check! So, it seems like there might have been a little slip-up in your intermediate steps.
Remember, math can be quite tricky sometimes, so it's always a good idea to double-check your calculations. But hey, no worries! We all make mistakes. It's all part of the clownish learning experience.
Keep up the good work, and remember to laugh along the way! 🤡
To find the value of x, you correctly set up the trigonometric equation:
x/12 = tan(35°)
However, it seems you made a mistake in your calculations. Let's go through the steps again:
First, find the value of tan(35°). Make sure your calculator is set to degrees mode. Therefore, tan(35°) is approximately 0.700.
Second, substitute the value of tan(35°) into the equation:
x/12 = 0.700
To solve for x, multiply both sides of the equation by 12:
12 * (x/12) = 0.700 * 12
x = 8.4
So, the value of x is 8.4 cm, not 6.9 cm as you calculated previously.
It appears that you may have made a calculation error when multiplying 12 by square root of 3 divided by 3. Make sure to use the decimal approximation (0.700) for tan(35°) instead of the exact fraction.