A plane flies towards a ground based radar dish. Radar locates the plane at a distance d from the dish at an angle 55.7 above horizontal. What is the planes horizontal distance in meters from the radar dish
Added by Darlene C.
Step 1
- Distance from radar to plane, \( d \) (hypotenuse of the right triangle) - Angle above horizontal, \( \theta = 55.7^\circ \) Show more…
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Supreeta N.
radar station detects the position and bearing of an approaching airplane to be 366 m, 40° above the horizon, headed due west. The airplane is tracked through an additional 123° in the east-west plane; and the range at final contact is 786 m. Find the displacement of the airplane during the radar's observation. Use the diagram below as a reference for solving this problem: Note: the plane may appear to start and end at the same height above the ground. This is not the case, though it is close.
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A plane flying at an altitude of $10 \mathrm{km}$ over level ground will pass directly over a radar station. Let $d$ be the ground distance from the antenna to a point directly under the plane. Let $x$ represent the angle formed from the vertical at the radar station to the plane. Write $d$ as a function of $x$ and graph the function over the interval $0 \leq x \leq \frac{\pi}{2}$.
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