Question

Can I get some help abs an easy explanation pls

Answer 1

we are given the following triangles:

We are asked to determine the value of "y". To do that we will use the tangent of 25:

`\tan 25=(y)/(x)`

We solve for "y" by multiplying both sides by "x":

`x\tan 25=y`

Now, we take the tangent of 15:

`\tan 15=(y)/(30+x)`

Now, we solve for "y" by multiplying both sides by the denominator:

`(30+x)\tan 15=y`

Now, we set both values of "y" equal, we get:

`x\tan 25=(30+x)\tan 15`

now, we solve for "x". First, we apply the distributive property on the right side:

`x\tan 25=30\tan 15+x\tan 15`

Now, we substract