Question

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

Answer 1

Answer:

The correct answer is option (2). 14.4

Step-by-step 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

Step-by-step 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:

$x=7*tan(64\°)\\x=14.35$

$x$≈$14.4$