12 foot board is leaning against a wall and makes a 77 degree angle with ground. How high does the board reach on the wall?

I used Sin 77x 12 and got 11.692

but questions is round this to the nearest tenth of a foot....
Is it 11.7 feet?
Thank you.

yes, 11.7 is correct to the nearest tenth

To find the height at which the board reaches on the wall, you can use trigonometry. The sine function relates the height of the board to the length of the board and the angle made with the ground.

Using the sine function, you correctly set up the equation sin(77) = height/12.

To solve for the height, multiply both sides of the equation by 12:
height = 12 * sin(77).

Now, you just need to evaluate this expression to find the height. Using a calculator, sin(77) is approximately 0.9763.
height = 12 * 0.9763 = 11.7156

So, when rounded to the nearest tenth of a foot, the height at which the board reaches on the wall is 11.7 feet. You are correct!

Yes, you are correct. By using the sine function, you can calculate the height of the board on the wall. Taking sin(77 degrees) multiplied by the length of the board (12 feet), you get 11.692 feet. Round this to the nearest tenth, and you get 11.7 feet. So, the board reaches a height of 11.7 feet on the wall. Well done!