Question

An airplane flies at an altitude of y = 4 miles toward a point directly over...

An airplane flies at an altitude of y = 4 miles toward a point directly over an observer. The speed of the plane is 500 miles per hour. Find the rates at which the angle of elevation θ is changing when the angle is θ = 45°, θ = 60°, and θ = 70°.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.Let θ (in radians) be an acute angle in a right triangle and let x and...
1.Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time. At a certain instant x=1 units and is increasing at 9 unit/s, while y=7 and is decreasing at 19 units/s. How fast is θ changing at that instant? 2.An airplane in Australia is flying at a constant altitude of 2 miles and...
At a given moment, a plane passes directly above a radar station at an altitude of...
At a given moment, a plane passes directly above a radar station at an altitude of 6 km and the plane's speed is 800 km/h. Let θ be the angle that the line through the radar station and the plane makes with the horizontal. How fast is θ changing 24 min after the plane passes over the radar station?
A relief airplane is delivering a food package to a group of people stranded on a...
A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 483 km/hour at an altitude of 825 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the...
A little confused on these Motion problems: An airplane with a speed of 95.3 m/s is...
A little confused on these Motion problems: An airplane with a speed of 95.3 m/s is climbing upward at an angle of 38.1 ° with respect to the horizontal. When the plane's altitude is 542 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package...
1.A conical tank has height 3 m and radius 2 m at the top. Water flows...
1.A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.5 m3/min. How fast is the water level rising when it is 1.1 m from the bottom of the tank? (Round your answer to three decimal places.) 2.At a given moment, a plane passes directly above a radar station at an altitude of 6 km. The plane's speed is 900 km/h. How fast is the distance between the plane...
1. Suppose that you are standing on the ground, under the flight path of an airplane....
1. Suppose that you are standing on the ground, under the flight path of an airplane. The airplane is flying at an altitude of 10 km. Using a radar device, you are able to detect that the plane is currently 26 km away from you, and that its distance to you is currently shrinking at a rate of 840 kilometers per hour. What is the current speed of the airplane? Hint: use the Pythagorean theorem to express a relationship between...
Pandora is the Internet’s most successful subscription radio service. As of June 2013, it had over...
Pandora is the Internet’s most successful subscription radio service. As of June 2013, it had over 200 million registered users (140 million of which access the service via a mobile device) and over 70 million active listeners. Pandora now accounts for more than 70% of all Internet radio listening hours and a 7% share of total U.S. radio listening (both traditional and Internet). At Pandora, users select a genre of music based on a favorite musician, and a computer algorithm...
1. What is an ISP (Integrated Service Provider) for supply chains? (1 point) A. A consultant...
1. What is an ISP (Integrated Service Provider) for supply chains? (1 point) A. A consultant agency which integrates the supply chain for companies B. A 2 PL or a 3PL, but not a 4PL C. A company supplying transportation and warehousing services D. A logistics service company specialized in suppling VAS (value added services) 2. What characterizes a 4 PL? (1 point) A. They are non-asset based and provides integrated services primarily supplied by asset based providers, for example...
Muffler Magic* Muffler Magic is a fast-growing chain of 25 automobile service centers in Nevada. Originally...
Muffler Magic* Muffler Magic is a fast-growing chain of 25 automobile service centers in Nevada. Originally started 20 years ago as a muffler repair shop by Ronald Brown, the chain expanded rapidly to new locations, and as it did so Muffler Magic also expanded the services it provided, from muffler replacement to oil changes, brake jobs, and engine repair. Today, one can bring an automobile to a Muffler Magic shop for basically any type of service, from tires to mufflers...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT