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?

3 answers

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.

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