In triangle ABC, A is a right angle and m B = 45 Degrees

Question

What is the length of BC? If your answer is not an integer, leave it in simplest radical form

A right angle with CA = 16ft

A- 16ft
B- 16 √2 ft
C- 16 √3 ft
D- 32 ft

Answer 1

B- 16 √2 ft

Using trigonometry, we can find the length of BC using the tangent of angle B:

tan(45 degrees) = BC / CA
tan(45 degrees) = BC / 16

Since tan(45 degrees) = 1, we have:
1 = BC / 16
BC = 16

So the length of BC is 16 ft.