Question

Solve the question below, please.

Answer 1

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, $Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}$, 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

$Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}$

$Cos(C) = \frac{3,524}{4,000}$

$C = Cos^{-1}(\frac{3,524}{4,000})$

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

$Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}$

$Cos(C) = \frac{808}{1,320}$

$C = Cos^{-1}(\frac{808}{1,320)}$

C = 52.26° (nearest hundredth)