Hi! I am super confused with this question and really need help.

Question

In a right triangle with a leg of 4 and a hypotenuse of 8, find the measures of all angles.

a. 27 degrees, 63 degrees, 90 degrees
b. 30 degrees, 60 degrees, 90 degrees
c. 40 degrees, 50 degrees, 90 degrees
d. 45 degrees, 45 degrees, 90 degrees

Answer 1

a = 4, b = ?, c = 8.
a^2 + b^2 = c^2.
4^2 + b^2 = 8^2,
b = 6.93.

Cos B = a/c = 4/8 = 0.50.
B = 60o.

A + B = 90o
A + 60 = 90,
A = 30o.

C = 90o.

So A = 30o, B = 60o, and C = 90o.