For the amusement of the guests, some hotels have elevators on the outside of the building....

For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 300 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft/sec, starting at time

t = 0,

where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator.

(a) Find a formula for

h(t),

the elevator's height above the ground as it descends from the top of the hotel.
h(t) =

(b) Using your answer to part (a), express θ as a function of time

t.

θ(t) =

tan−1(2−t5)

Find the rate of change of θ with respect to t.

dθ

dt

=

(c) The rate of change of θ is a measure of how fast the elevator appears to you to be moving. At what height is the elevator when it appears to be moving fastest?
h =

Expert Solution

milcah answered 2 years ago

FOMs often serve as the hotels credit manager thereby identifying and enforcing credit limit for guests...

FOMs often serve as the hotels credit manager thereby identifying and enforcing credit limit for guests staying on the property. assume you are the GM at an expensive resort property. what criteria would you want your FOM to use to establish credit limits for your various guests? what communication would you want the front office to initiate with the guest who was close to exceeding or has exceeded his or her credit limits?

A1 Hotels operates luxury hotels throughout the world. Recently, motivated by some incidents that appeared in...

A1 Hotels operates luxury hotels throughout the world. Recently, motivated by some incidents that appeared in the news, they have been concerned about the quality of service. The company has been giving the following survey to its clients after their stay: How would you rate the quality of your room? Select one. Good(G), Poor(P) How would you rate the quality of your food? Select one. Good(G), Poor(P) How would you rate the quality of your service? Select one. Good (G),...

Suppose outside temperature is 55◦F, while the temperature inside a building is 72◦F. The building is...

Suppose outside temperature is 55◦F, while the temperature inside a building is 72◦F. The building is heated but not air conditioned, so the partial pressure of water vapor is the same both inside and outside the building. Finally, suppose the dew point outside is 40◦F. What is the dew point inside? What are the relative humidities inside and outside the building? (We are most comfortable if relative humidity is between 30% and 50%. This question shows why air in heated...

Question 1 (9 marks) A company is building an amusement park and has the following projected...

Question 1 A company is building an amusement park and has the following projected cashflows. Costs consist of building costs and staff salaries: Year Building costs (assume as being paid at start of each respective year) 1 $100,000 2 $50,000 3 $30,000 4 $45,000 5 $0 for year 5 and all future years for building costs Staff salaries $4,000 for year 1, increasing by a discrete step of $100 at the start of each future year, but paid continuously...

Consider a project to build an amusement park. What are some of theresource constraints that...

Consider a project to build an amusement park. What are some of the resource constraints that would make this project challenging? What could you do, as a project manager, to help manage the constraints and project scheduling?

What are some examples of technological innovation outside of industrial production that have changed economic geography?

Suppose the guests at the hotel have an average weight of 180 with a standard deviation...

Suppose the guests at the hotel have an average weight of 180 with a standard deviation of 50 pounds. An elevator is designed to carry only 10 people with a maximum capacity of 2400 pounds. 5. What is the mean of the sample mean? 6. What is the standard deviation for the sample mean of the 10 people? (Use 2 decimals) 7. If 10 guest ride the elevator at one time, what is the probability that the elevator is overweight?...

An individual is building a home in a rural area outside of Lafayette, IN. Natural gas...

An individual is building a home in a rural area outside of Lafayette, IN. Natural gas is not available so the individual is considering some different options for heating and cooling the house that are described below. The total heating requirement for the year is estimated to be 150 MMBtu, whereas the total cooling requirement is about 50 MMBtu. The system will be financed along with the rest of the house with a 20% down payment and a loan for...

Lakeview Builders is a construction company (building houses, offices, and hotels) employing a large number of...

Lakeview Builders is a construction company (building houses, offices, and hotels) employing a large number of workers on various construction sites. The internal audit department of Lakeview Builders is currently reviewing cash wages systems within the company. The following information is available concerning the wages systems: (a) Hours worked are recorded using a clocking in/out system. On arriving for work and at the end of each day’s work, each worker enters their unique employee number on a keypad. (b) Workers...

Some Internet booking sites operate by letting guests bid for hotel rooms at whatever price the...

Some Internet booking sites operate by letting guests bid for hotel rooms at whatever price the guest is willing to pay. In such cases, guests may not know the hotel they will be reserving at the time of their bid. If the guest’s bid is successful (i.e., if a hotel is willing to sell a room for the suggested bid price), a nonrefundable reservation is made. If you were managing a front office, would you want your hotel to participate...

Question