Question

Help please. I’m stuck on this one

Answer 1

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:

$tan\theta=\displaystyle\frac{opposite}{adjacent}$

Plug in the given information:

$tan\displaystyle\frac{\pi}{4} =\displaystyle\frac{b}{25}\\\\25tan\displaystyle\frac{\pi}{4} =b\\\\b=25$

Therefore, b = 25m.

We can also use this using special triangle rules. $\displaystyle\frac{\pi}{4}$ 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!