Given that the polar equation r models the orbits of the planets about the sun,
-Suppose that a radio transmission pattern can be modeled by $$\mathrm { r } ^ { 2 } = 28,900 \cos 2 \theta , \text { for } 0 ^ { \circ } \leq \theta \leq 360 ^ { \circ }$$ where the units are miles. Determine how far the signal reaches to the east, assuming that east is represented by the direction of the positive x-axis.
A) 57,800 miles
B) 340 miles
C) 28,900 miles
D) 170 miles

Question

Quizplus · Accepted Answer

The signal reaches the farthest to the east when $\theta = 0^\circ$, where $\cos 2\theta = 1$. Thus, $r^2 = 28,900 \times 1$, giving $r = \sqrt{28,900} = 170$ miles.

Given That the Polar Equation R Models the Orbits of the Planets