Question

What is the value of X to the nearest tenth?
Answer options: 0.3, 14.4, 3.4

Answer 1

The correct answer is option (2). 14.4

Explanation:

Formula:-

tanα = Opposite side /Adjacent side

From the given figure, We can see that its a right angled triangle.

To find the value of x

Tan 64 = Opposite side /Adjacent side

Tan 64 = x/7

x = 7 * tan 64

x = 7*2.05 = 14.35 ≈ 14.4

Therefore the correct answer is option (2). 14.4

Answer 2

Answer: x=14.4

Explanation:

The triangle shown in the figure attache is a right triangle. Therefore, you can calculate the missing side "x" as following:

`tan\alpha=opposite/adjacent`

Where:

`\alpha=64\°\\opposite=x\\adjacent=7`

When you solve for x and substitute the values shown above, you obtain the following result:

`x=7*tan(64\°)\\x=14.35`

`x`≈
`14.4`