5. In a right triangle with a hypotenuse of 5 (unchanging), the angle 6 is increasing at a constant rate of 2 radians/hr. At what rate is the side length across from 0 increasing when it is 4 ft in length? [A] 8 ft/hour [B] 4 ft/hour [C] 10 ft/hour [D] 6 ft/hour (E] 2 ft/hour

5. In a right triangle with a hypotenuse of 5 (unchanging), the angle 6 is increasing at a constant rate of 2 radians/hr. At what rate is the side length across from 0 increasing when it is 4 ft in length? [A] 8 ft/hour [B] 4 ft/hour [C] 10 ft/hour [D] 6 ft/hour (E] 2 ft/hour

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter21: Direct And Inverse Proportions

Section: Chapter Questions

Problem 7A: A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and...

See similar textbooks

Related questions

Q: A hot air ballon rises vertically upwards from a distance of 170m away. If the angle 0 at which you…

A: To Determine: how fast is the ballon rising when θ=π6 Given: A hot air balloon rises vertically…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Length of ladder is l= 10ft X=8 ft, dx/dt= 18ft/sec From the fig l =[ x2 + y2 ]0.5= 10 a) from…

Q: A balloon released at point P rises vertically with a constant speed of 6 m/s. Point Q is level with…

Q: The bast x of the right triangie in the figure, increases at a rate of 5 cm/s, while the nei ght…

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: 1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the…

A: Given that , Height of person = 7 feet and height of lamppost = 20 feet Let ,The distance of the…

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: .

Q: The base x of the right triangle in Figure increases at a rate of 5 emfs, while the height remains…

A: Write the tangent ratio for angle .

Q: When a rocket is 5 kilometers high, it is moving vertically upward at a speed of 900 kilometers per…

Q: Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the…

A: We have given For x = 4 units, x’ = 6 units/s and for y = 5 units, y’ = -1/5 units/s.

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

Q: A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides from the wall…

Q: A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above the water. At what…

Q: 6. A picture 40 cm high is placed on a wall with its based 30 cm above the level of the eye of an…

A: LETS THE PICTURE THE PROBLEM TO UNDERSTAND THE LANGUAGE PROPERLY

Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: A man 2 meters tall walks at a rate of 1.2 meters per second away from a light that is 5 meters…

A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

Q: MY When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers…

A: Solve to the given question condition

Q: An airplane is flying horizontally at an altitude of 9000 m. An observer on the ground noticed that…

Q: 1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 4.A ladder 10ft. long is resting against the side of a building if the foot of the ladder slips away…

A: This question is based on application of Derivative.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic- application of derivatives

Q: Two boats leave a port at the same time: one travels west at 20 mi/hr and the other travels south at…

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: A plane flies horizontally at an altitude of 6km and passes directly over a tracking teles cope on…

Q: Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the…

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

Q: A rocket, R, rises vertically from a point A on level ground. It is observed from another point B on…

Q: Suppose you always keep your eyes fixed on the very top of a 100 m building. Suppose you start to…

A: Height of building = 100 m Let x be the base distance from the building Head angle = θ tanθ=100x

Q: A car leaves an intersection traveling west. Its position 4 sec later is 18 ft from the…

A: The figure below depicts the rate of change of y and x at time instant t=4 seconds

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given that: Distance from the bottom of the wall, x=8 ftLength of ladder, L=10 ftSliding speed of…

Q: Ryan is eagerly watching a yellow flower falling straight down towards a point on the ground whose…

Q: 1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the…

A: topic - similar triangles and derivatives

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Given: A 10-ft ladder is leaning against a house when its base starts to slide away. By the…

Q: A triangle has two constant sides of length 6 ft and 2 ft. The angle between these two sides is…

Q: A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle…

A: Using triangle find angle then find the rate of change of angle

Q: Two sides of a triangle are 19.2 m and 29 m in length and the angle between them is increasing at a…

Q: Two sides of a triangle are 17.8 m and 27 m in length and the angle between them is increasing at a…

A: In this question we have to use some properties of triangle and differentiation. According to the…

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

Q: 9. A balloon, leaving the ground 60 ft. from the observer, rises 10 ft. per sec. How fast is the…

A: 9- Given- The ballon leaving the ground 60ft. from the observer rises 10 feet per second. To find-…

Q: 10. A ladder 13 ft. long leans against a vertical wall. If the top slides down at 1.5 ft. per sec.,…

A: Definition used- In a right angle triangle -…

Q: c) Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and…

A: (In this figure, P is the point mentioned in the question, which is at some distance from ship A and…

Q: A 5 metre long ladder is leaning against a vertical wall, with its foot on horizontal ground. The…

Q: 2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

Q: Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and moving…

A: Given data: The speed of A is dxdt=-20 mph. The speed of B is dydt=15 mph. Position of A is xA=15…

Question

5. In a right triangle with a hypotenuse of 5 (unchanging),
the angle 0 is increasing at a constant rate of 2 radians/hr.
At what rate is the side length across from 0 increasing
when it is 4 ft in length?
[A] 8 ft/hour [B] 4 ft/hour [C] 10 ft/hour
[D] 6 ft/hour [E] 2 ft/hour

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pythagoras' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.