A doomed ceiling is a parabolic surface. Ten meters down from the top of the dome, the ceiling is 15 meters wide. For the best lighting on the floor, a light source should be placed at the focus of the parabolic surface. How far from the top of the dome, to the nearest tenth of a meter, should the light source be placed?

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The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster,  h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form. Fill in the blanks to report your result as follows. a should be written as an integer or…

Dean is on a 70 m high bridge and sees two boats anchored at points C and D below. Deanestimates the angle of depression to be 36° for boat C and 40° for boat D. How far apart are theboats?