Question

Solve for x. round to the nearest hundredth if necessary.

Answer 1

Final answer is approx
`x=34.28`.

Explanation:

Using given information in the picture, we need to find the missing value of x.

Apply formula of tangent function which is :

`\tan\left(\theta\right)=(opposite)/(adjacent)`

`\tan\left(29^o\right)=(19)/(x)`

`0.554309=(19)/(x)`

`x=(19)/(0.554309)`

`x=34.2769105319`

Hence final answer is approx
`x=34.28`.

Answer 2

The correct answer is first option

X = 10.53

Explanation:

Points to remember

Trigonometric ratios

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = opposite side/Adjacent side

From the figure we can see a right angled triangle, with one angle is 29 degree, one side is 19 and hypotenuse is x

To find the value of x

Tan θ = Opposite side/Adjacent side

Tan 29 = 19/x

x = 19 * Tan 29

= 19 * 0.5543

= 10.53

Therefore the correct answer is first option