Steve inherited $100,000 from his grandmother and deposited it into an account that compounds interest monthly at a rate of 4.8%. Each month, he withdraws $500 from the account. How long will it take him until the account has a balance of $0?

Ok, so we've been told that the angle H=68 degrees.

Let's now flip the right angled triangle 90 degrees clockwise.

If we do so, it turns out we'd have to find the opposite length of the right angled triangle (Opp) which is GI. We know that we have the adjacent (Adj) length of this triangle which is in fact 2cm. What we also know is that:

tan(β)=Opp/Adj *Whereby "β" is an angle.

As β=68 degrees, Opp=GI and Adj=2:

tan(68)=GI/2

Therefore:

GI = 2 * tan(68)

GI = 4.95 cm (to 2 decimal places)