Could somebody help me with this please?

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = =

→ Use the inverse of tan to find x

∵ x = ()

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

a) $300 in interest

b) $1800 account total

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 1500(.04)(5)

I = 300

A = P + I

1800 = 1500 + 300