Question

Find the value of x. Round your answer to the nearest whole number.

Answer 1

I don’t know that answer but I need points

Answer 2

`\boxed {\boxed {\sf x \approx 49}}`

Explanation:

This is a right triangle, so the trigonometric ratios can be used.

• sinθ= opposite/hypotenuse
• cosθ= adjacent/hypotenuse
• tanθ= opposite/adjacent

Examine the sides. We see that 10 is the hypotenuse (it is opposite the right angle). 6.5 is adjacent to x. So, we should use cosine.

`cos (\theta)= \frac {adjacent}{hypotenuse}`

`cos (x)= \frac {6.5}{10}`

Since we are solving for an angle, we use the inverse trigonometric function.

Move the cosine to the other side and use the inverse.

`x= cos^(-1) ((6.5)/(10))`

Put the right side into a calculator.

`x=49.45839813`

Round to the nearest whole number. The 4 in the tenth place tells us to leave the number as is.

`x \approx 49`

x is approximately 49 degrees.