Commercial aircraft usually fly at an altitude between 9 and 11 kilometers (about 29,000 to 36,000 feet). When an aircraft is landing, its gradual descent to an airport runway occurs over a long distance. Assume the path of descent is a line. a. Suppose a commercial airliner begins its descent from an altitude of 9.4 km with an angle of descent of $2.5 ^ { \circ }$. At what distance from the runway should the descent begin? b. Suppose a commercial airliner flying at an altitude of 11 km begins its descent at a horizontal distance 270 km from the end of the runway. What is its angle of descent? c. The cockpit cutoff angle of an airliner is the angle formed by the pilot’s horizontal line of sight and her line of sight to the nose of the plane. Suppose a pilot is flying an aircraft with a cockpit cutoff angle of $14 ^ { \circ }$ at an altitude of 1.5 km. In her line of sight along the nose of the plane, she sights the near edge of a lake. i. How far is she from the edge of the lake, measuring along her line of sight? ii. What is the horizontal distance to the near edge of the lake?

What is the world's leading agricultural country?

Which number is farther from 0 on a number line: -9 or 6? Explain your reasoning.

Applying Ideas Which acid and which base could react to form the salt aluminum sulfate, $Al_2(SO_4)_3$?

Scatterplots, bar graphs, pie graphs, and line graphs all have different purposes. Which type of graph best fits each purpose? a. Grouping data for comparison b. Comparing parts of a whole c. Seeing if two variables are related, such as in cause and effect.

Name the organ systems involved when you eat a slice of pizza.

The electric field equals the negative gradient of the potential, that is, $\mathbf{E}=-\nabla \phi$. Show that this implies that the curl of $\mathbf{E}$, which we can write as $\nabla \times \mathbf{E}$, is identically zero. Do this by: (a) calculating $\nabla \times \nabla \phi$ in Cartesian coordinates; (b) making judicious use of Stokes’ theorem.

Which excerpt from Everyman best represents how Everyman is characterized overall in the passage? a) It is said, in prosperity men friends may find,Which in adversity be full unkind. b)I believe that they will do so,For kind will creep where it may not go. c)For I have a great enemy, that hath me in wait,Which intendeth me for to hinder. d)But when I have most need, they me forsake.I am deceived; that maketh me sad.

Determine whether the statement is true or false. If it is false, explain why. -A rectangle is also a square.

Obtain the inverse Laplace transform for the function $\frac{e^{-4 s}}{s+4}$.

Describe the energy conversions that occur when water falls on a paddle wheel connected to a generator that is connected to electric lights.

Use a calculator to solve each equation on the interval $0 \leq \theta<2 \pi .$ Round answers to two decimal places. $\sin \theta=0.4$

Basketball player LeBron James can jump vertically over 0.9 m. Estimate the force that he exerts on the surface of the basketball court as he jumps. (a) Compare this force with the force that the surface exerts on James. Describe all assumptions used in your estimate and state how each assumption affects the result. (b) Repeat the problem looking at the time interval when he is landing back on the floor.

Write down the first five terms of each sequence. $a_{1}=-3 ;\ a_{n}=4+a_{n-1}$