tan θ = y/360
sec²θ dθ/dt = 1/360 dy/dt
because sec θ = 1/cos θ, this equation can be rewritten as shown.
sec²θ dθ/dt = 1/360 dy/dt
dθ/dt = cos²θ/360 dy/dt
to find the value of cos θ, first use the pythagorean theorem to find the length of the hypotenuse when y = 480 ft
√(360² + 480²) = □ ft
print
clear all

Question

Accepted Answer

# Explanation:
## Step1: Apply Pythagorean Theorem
$$
\begin{align*}
&\text{The Pythagorean Theorem for a right - triangle is }c=\sqrt{a^{2}+b^{2}}\
&\text{Here }a = 360\text{ and }b = 480\
&\text{So, }c=\sqrt{360^{2}+480^{2}}
\end{align*}
$$
## Step2: Calculate the value
$$
\begin{align*}
\sqrt{360^{2}+480^{2}}&=\sqrt{129600 + 230400}\
&=\sqrt{360000}\
&=600
\end{align*}
$$
# Answer:
600

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Apply Pythagorean Theorem

Step2: Calculate the value

Answer: