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Instructions: Write down the answer on a note-book (with your pencil and paper,

ID: 3874698 • Letter: I

Question

Instructions: Write down the answer on a note-book (with your pencil and paper, not an electronic note-book). You must hand it to me before Thursday (20 October) Problem 1: calculate the height AB of the airplane. Known: the airplane is at point B, the radar transmit at a speed of 3 × 108 m / s , echoes received from the aircraft after 1/3000 seconds. The transmitted angle of radar is 30° Algorithm: get the distance OB first, according to AB = OB * sin30 get the height of the airplane due to round-trip time of radio is 1/3000 seconds, thus the Single-trip time is 1/3000/2, that is: OB = 3x 105x1/3000/2 300

Explanation / Answer

OB = 3*10^8 * (1/3000)/2

AB = OB Sin30

   = 3*10^8 * (1/3000)/2 * Sin30

   = 3*10^8 * (1/3000)/2 * 1/2

    = 3 * 0.166 * 0.5 * 10^-3 * 10^8
   
    = 0.249 * 10^5 meters