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:

$\tan 25=\frac{y}{x}$

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

$x\tan 25=y$

Now, we take the tangent of 15:

$\tan 15=\frac{y}{30+x}$

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