You are stationary on the ground and are watching a bird fly horizontally at a rate of 10-. m The sec bird is located 12m above your head. How fast does the angle of elevation change when the horizontal distance between you and the bird is 35m? rad sec

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Q: A searchlight is trained on the side of a tall building. As the light rotates, the spot it…

A: Given data: D is the distance between the ground level and the illuminated spot on the side of the…

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

A: let the height at that moment is h miles.

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Q: Two sides of a triangle are 15 cm and 20 cm long respectively. How fast is the third side increasing…

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Q: Leumi the Ant is eagerly watching a pink flower falling straight down towards a point on the ground…

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Q: 25. A rope is attached to a weight and passes over a hook that is 6 ft. above the ground. The rope…

A: The following diagram shows the given situation: In the above diagram, the length of the thread…

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Q: 10. A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: Here we use the property of right angle triangle.

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

A:

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

A: This question is about traingles.  How we can find rate of change of angle with use of pythagorean…

Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 2 seconds.…

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Q: A child flies a kite at a height of 70 ft, the wind carrying the kite horizontally away from the…

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Q: released. The balloon rises at a rate of 6 feet per second. How fast is the angle of elevation of…

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Q: TA ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at…

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Q: A rocket rises straight up from a point X on the ground. A tracking device is on the ground 30 feet…

A: Need to find dh/dt

Q: 10. A kite 50 ft high, with 90 f of cord out. If the kite is moving horizontally at 3 ft/ sec…

A: Given:                           Height of kite =50 ft       dxdt=3 ft/sec

Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A…

A: We need to find the rate at which the angle of elevation is changing.

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Q: Two people are driving from the same point. One drives east at 3 mi/h and the other drives north…

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Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 2 seconds.…

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: A child flies a kite at a height of 50 ft, the wind carrying the kite horizontally away from the…

A: Given that  A child flies a kite at a height of 50ft , the wind carrying the kite horizontally away…

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A: We have to find the rate at which the light projected onto the wall is moving along the wall when…

Q: On a sunny day, a 50ft tall tree casts a shadow on the ground. As time passes, the sun moves in the…

A: Explained below

Q: A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The angle…

A: Given the data

Q: 3. A ladder 10 feet long is leaning against the wall of a house. The base of the ladder is pulled…

A: Concept: Let x represent the distance from the wall to the ladder's base. and let y be the height of…

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

A:

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: (7) A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an…

A: Topic-angle of elevation

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Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds.…

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Q: A pole stands 141 feet tall. An angle 0 is formed when wires of various length x feet are attached…

A: The height of the pole is 141 feet. The length of the string attached is x feet. To calculate the…

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Q: A car accelerates at a constant rate from 44 f/sec to 88 ft/sec in 5 seconds. (a) Figure 5.18 shows…

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Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 4 seconds.…

A: Given : A rotating light is located 18 feet from a wall say dist (AB)=18 feet The light completes…

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

A:

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

A: dθdt=0.1 rad/min In ∆ABC…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight…

A: The lighthouse is moving at 5 revolutions per minute, therefore: dθdt=5×2π1dθdt=10πrad/min A…

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: When the lower point of ladder go left then upper point will go down

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Q: A rotating light is located 11 feet from a wall. The light completes one rotation every 4 seconds.…

A: To solve this problem we will use the following steps: 1.) We will assumed the distances of the…

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: Leumi the Ant is eagerly watching a pink flower falling straight down towards a point on the ground…

A: Find your answer below

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A: Given: The angle of light from perpendicular to the wall is given as θ=25° Also given that the light…

Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: A hunter is moving away from a tree at the rate of 2 ft/sec. A 3 ft-tall eagle is resting on a…

A: Solve for the angle

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.