Question

PLEASE HELP FAST!
what is the value of tanX
A) 7/18
B 18/7

Answer 1

Hello!

The answer is:

The value of Tan(x) is:

$\frac{7}{24}$

Why?

Since we want to know the value of Tan(x), we need to use the following formula:

$Tan(x)=\frac{Opposite}{Adjacent(XZ)}$

We already know the opposite side, but we need to find the value of the distance "XZ",so, we can calculate it using the Pythagorean Theorem since it's a right triangle.

Let be:

$a=25\\b=7$

Then, finding "XZ" we have:

$a^{2}=b^{2}+c^{2}\\ \\25^{2}=7^{2}+c^{2} \\\\c^{2}=625-49\\\\c=\sqrt{576}=24$

Now, finding the value of Tan(x), we have:

$Tan(x)=\frac{opposite}{adjacent}\\\\Tan(x)=\frac{7}{24}$

Hence, we have that the value of Tan(x) is:

$\frac{7}{24}$

Have a nice day!

Answer 2

Answer:

Tan X = 7/24

Step-by-step explanation:

From the figure we can see a right angled triangle XYZ.

XY = 25 and YZ = 7

To find value of XZ

XZ² = XY² - YZ²

 = 25² - 7²

 = 625 - 49

 = 576

XZ = √576 = 24

To find the value of X

Tan X = YZ/XZ

 = 7/24