Answer:
[tex]b=\sqrt{1575}[/tex] ≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:
[tex]a^{2}+ b^{2}= c^{2}[/tex]
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
[tex]45^{2}+ b^{2}= 60^{2}[/tex]
[tex]2025+b^{2} =3600[/tex]
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
[tex]b^{2} =1575[/tex]
[tex]b=\sqrt{1575}[/tex] ≈ 39.7ft
