Question

to find the value of cos θ, first use the pythagorean theo
$sqrt{360^{2}+480^{2}} = 600$ ft
now find cos θ.
$cos θ=\frac{360}{600}$

Explanation:

Step1: Calculate hypotenuse

$\sqrt{360^{2}+480^{2}}=\sqrt{129600 + 230400}=\sqrt{360000}=600$

Step2: Find cosine value

$\cos\theta=\frac{360}{600}=\frac{3}{5}$

Answer:

$\frac{3}{5}$