Question

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

Answer 1

Tan X = 7/24

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

Answer 2

Hello!

The answer is:

The value of Tan(x) is:

`(7)/(24)`

Why?

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

`Tan(x)=(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=√(576)=24`

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

`Tan(x)=(opposite)/(adjacent)\\\\Tan(x)=(7)/(24)`

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

`(7)/(24)`

Have a nice day!