You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 (one thirty sixth) of the footstep sound energy reaches them; similarly, Guard 2 can hear you if anything more than 1/16 (one-sixteenth) of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. Determine, if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) The distance between the two red dots is? We know that the radius of the hearing zones is 6 m for Guard 1 and 4 m for Guard 2. Therefore the safe distance is?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
What steps would I take to solve the problem below? Also is guard 1 at point (0,0)?
Assignment:
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 (one thirty sixth) of the footstep sound energy reaches them; similarly, Guard 2 can hear you if anything more than 1/16 (one-sixteenth) of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. Determine, if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula)
The distance between the two red dots is?
We know that the radius of the hearing zones is 6 m for Guard 1 and 4 m for Guard 2. Therefore the safe distance is?
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