Questions: Solve for x. Round to the nearest tenth, if necessary.

Transcript text: Solve for $x$. Round to the nearest tenth, if necessary.

Solution

Solution Steps

Step 1: Identify the relevant trigonometric function

We are given the adjacent side (x) and the hypotenuse (12) relative to the 61° angle. The relevant trigonometric function relating these is cosine: cos(θ) = adjacent/hypotenuse.

Step 2: Set up the equation

In our case, θ = 61°, adjacent = x, and hypotenuse = 12. Therefore, cos(61°) = x/12.

Step 3: Solve for x

Multiplying both sides by 12, we get x = 12 * cos(61°).

Step 4: Calculate x

Using a calculator, we find that cos(61°) ≈ 0.4848. Therefore, x ≈ 12 * 0.4848 ≈ 5.8176.

Step 5: Round to the nearest tenth

Rounding 5.8176 to the nearest tenth gives us 5.8.

Final Answer:

x = 5.8

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >