Question

Solve the question below, please.

Answer 1

Adam: 52.26°

Explanation:

Use Cosine Rule,
`Cos(C) = (a^2 + b^2 - c^2)/(2ab)`, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

`Cos(C) = (50^2 + 40^2 - 24^2)/(2*50*40)`

`Cos(C) = (3,524)/(4,000)`

`C = Cos^(-1)((3,524)/(4,000))`

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

`Cos(C) = (30^2 + 22^2 - 24^2)/(2*30*22)`

`Cos(C) = (808)/(1,320)`

`C = Cos^(-1)((808)/(1,320))`

C = 52.26° (nearest hundredth)