An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent to the runway at an angle of depression of 5 degree. How far from the runway should the pilot begin the descent?

A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 700 mi/h, how far is she from her starting position? Your answer is mi; Enter your answer rounded to two decimal places.

Kolby needs to fix a leaky roof on his mom's house but doesn't own a ladder. He thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a point P on the ground where he can visually align the roof of his 4.25 ft tall car with the edge of the roof of the house. If point P is 8.5 ft from the car and the car is 23 ft from the house, will the 25-foot ladder be tall enough?

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…