Question

In ∆ABC, AB = 21 inches, BC = 25 feet. What would be ∠ACB in degrees (up to two decimal points)?

A.
4.56 degrees
B.
3.43 degrees
C.
4 degrees
D.
5.25 degrees

Answer 1

C.... 4 degrees

Look at the picture you might need to click the magnifying glass

Answer 2

C. 4 degrees

Explanation:

We have to assume that the triangle is a right triangle with the right angle at B. Then, the given dimensions are the side opposite and the side adjacent to the angle. So, we have ...

Tan = Opposite/Adjacent

tan(C) = (21 in)/(300 in) = 0.07

∠C = arctan(0.07)

∠C ≈ 4.00°