Answer your answer and show all these steps that you use to solve this problem in the space provided.
Find the value of x round to the nearest tenth the diagram is not drawn to scale.
Triangle ant the top is x to the right in the corner is 24°at the bottom is 11.
Can anyone help?
To solve the problem, we can use the trigonometric ratio tangent (tan).
tan(24°) = opposite/adjacent
We know the opposite side is 11 and we want to find the adjacent side (x).
tan(24°) = 11/x
Multiplying both sides by x:
x * tan(24°) = 11
Dividing both sides by tan(24°):
x = 11/tan(24°)
Using a calculator, we get:
x ≈ 25.1
Therefore, the value of x rounded to the nearest tenth is 25.1.
are hot hot girl
Huh??
To find the value of x in the triangle, we can use the sine function.
Step 1: Identify the given information:
- The angle at the top of the triangle is 24°.
- The length at the bottom of the triangle is 11 units.
Step 2: Determine the trigonometric ratio to use:
Since we have the angle and the length of the opposite side, we can use the sine function: sin(angle) = opposite/hypotenuse.
Step 3: Set up and solve the equation:
sin(24°) = 11/x
Using a scientific calculator, calculate the sine of 24° (rounded to the nearest ten-thousandth) which is approximately 0.4067.
0.4067 = 11/x
Multiply both sides of the equation by x:
0.4067 * x = 11
Divide both sides of the equation by 0.4067:
x = 11 / 0.4067
Calculate the value of x (rounded to the nearest tenth) using a calculator:
x ≈ 27.03
Therefore, the value of x (rounded to the nearest tenth) in the triangle is approximately 27.0.