Answer:
b = 25m
Step-by-step explanation:
Hi there!
We're given angle B and the length of a in this right triangle. We must solve for the length of b. a and b are the two legs of the right triangle.
In this case, we can use the tangent ratio:
[tex]tan\theta=\displaystyle\frac{opposite}{adjacent}[/tex]
Plug in the given information:
[tex]tan\displaystyle\frac{\pi}{4} =\displaystyle\frac{b}{25}\\\\25tan\displaystyle\frac{\pi}{4} =b\\\\b=25[/tex]
Therefore, b = 25m.
We can also use this using special triangle rules. [tex]\displaystyle\frac{\pi}{4}[/tex] radians is equal to 45 degrees, making this a 45-90-45 triangle. This would make a and b equal in length.
I hope this helps!
