Answer:
[tex]35[/tex]
Step-by-step explanation:
From the information given we can solve for x using the larger triangle
we know that the angle at the top is 45 degrees and the side opposite of it is 35, in other words we need to find the adjacent, or rather, x
Since we have angle, an opposite side, and we need the adjacent. The trig function we need to use is [tex]tan[/tex], the formula is
[tex]tan0[/tex][tex]=\frac{opposite}{adjacent}[/tex]
we need to rearrange this to solve for the adjacent
[tex]adjacent=\frac{opposite}{tan(0)}[/tex]
[tex]x=\frac{15}{tan(45)}[/tex]
[tex]x=35[/tex]
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