A surveyor standing 70 feet from the base of a large tree measures the angle of elevation to the top of the tree as 63.5°. Use differentials to determine how accurately the angle must be measured if the percent error in estimating the height of the tree is to be less than 6%? (All calculations must be done using radian measure. The solution will also be in radian measure. Change the final solution to degree measure.

Q: A beacon that makes one revolution every 13 seconds is located on a ship anchored 4 kilometers from…

A: Given that a beacon that makes one revolution every 13 seconds is located on a ship anchored 4…

Q: The State of Illinois Cycle Rider Safety Program requires motorcycle riders to be able to brake from…

A:

Q: secA + tanA is equal to

A: Given:  To Find: To simplify the given expression.

Q: Ivar is eagerly watching a black leaf falling straight down towards a point on the ground whose…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A:

Q: how long does it take to cut a distance of 1 foot along a shaft that turns 150 revolutions per…

A: the tool feed covers 116inch per revolution therefore, in 150 revolutions it covers 150×116=758…

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

A:

Q: A 18-ft ladder leaning against a wall begins to slide. How fast is the angle between the ladder and…

A: A 18-ft ladder is leaning against the wall. To find how fast the angle between the ladder and the…

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

A: Let the angle be θ between the ladder and the ground.

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

A: Given that, the ladder is 10 ft long ,the rate of change when  ladder slides is 0.7 feet per second.…

Q: A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins to slide…

A: Given that A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins…

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

A:

Q: The minute hand of a clock is 6 inches long and moves from 12 to 4 o’clock. How far does the tip of…

A: The minute hand of a clock is 6 inches long and it moves from 12 to 4 in clock. A complete…

Q: When a rocket is 8 kilometers high, it is moving vertically upward at a speed of 900 kilometers per…

A:

Q: A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 16 ft high.  At what rate…

A: Let x be the distance of the man from the lamppost and y be the length of the shadow as shown in the…

Q: A ball is being launched into the air. 21 feet away from the launch site is a camera. If the ball is…

A: Suppose y represents the height of the ball and θ be the angle of elevation.As the ball is…

Q: A ship, moving 6 km per hour, sails north for 3 hours, then turns east. If a searchlight at the…

A: Topic = Trigonometry

Q: Estimate pai to as many decimal places as your calculator will display by using Newton’s method to…

A: As per calculator, the value of pi is given as 3.141592654. We use Newton’s method to reach a value…

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

A: Given that:                   Length of ladder = 10ftBottom of the slider slides away from the wall…

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 triangle has two constant sides of length 10 feet and 15 feet. The angle between these two sides…

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Q: A car traveling at 60 feet/sec decelerates at a constant rate so that it comes to a complete stop…

A: Initial velocity is equals to 60 ft./s

Q: A 5.50-ft-tall man walks at 8.00 ft/s toward a street light that is 18.0 ft above the ground. At…

A:

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…

A: A ladder is given that slides away from the wall we find angle between ladder and the ground…

Q: The minute hand of a clock is 8 inches long and moves from 12 to 2 o’clock. How far does the tip of…

A: Given  Length of the minute hand of the clocks = 8 inches We know that the relation between length…

Q: A wheel has a diameter of 100 centimeters. If the wheel is supporting a cart moving at 45 kilometers…

A:

Q: A car traveling at 42 ft./sec decelerates at a constant 3 feet per second squared. How many feet…

A:

Q: A stone was dropped off a cliff and hit the ground with aspeed of 120 fts. What is the height of…

A: Initial velocity = 0 ft/s Final velocity= 120 ft/s Acceleration= a= 32.2 ft/s^2 Let the height = h…

Q: Find the indicated root of the given equation to at least four decimal places by using Newton's…

A:

Q: A 6.50-ft-tall man walks at 6.00 ft/s toward a street light that is 17.0 ft above the ground. At…

A: We have to calculate the rate by which man,s shadow is moving.

Q: Find the rate of change of the angle when a wire of 250 dx feet is attached.

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Q: The angle of elevation of the sun is decreasing at a rate of 0.25 rad/hr. How fast is the shadow…

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

A:

Q: A ship, moving 6 km per hour, sails north for 2 hours, then turns east. If a searchlight at the…

A: We can find the answer as below.

Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 2…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

Q: A beacon that makes one revolution every 11 seconds is located on a ship anchored 2 kilometers from…

A: Concept of angular motion is to be used here.

Q: Mars rotates on its axis at the rate of about 0.2552 radian per hr. Approximately how many hours are…

A: In a Martian day Mars covers 2π radian rotation. Suppose x hours are in a Martian day. Given that,…

Q: A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 16 ft high. At what rate is…

A: Given: Height of the man, h=6 ft Height of the post, H=15 ft Walking rate, dxdt=5 ft/sec

Q: How fast is the distance between the range finder and the balloon increasing (in meters per minute),…

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Q: find the temperature in a bar of length 2 whose ends are kept at zero and lateral surface insulated…

A: Consider a bar of length 2 whose ends are kept at 0 temperature. The lateral surface is insulated.…

Q: A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A man 6 ft tall walks at a rate of 2 ft/sec away from a lamppost that is 17 ft high. At what rate is…

A:

Q: a television camera is positioned o the ground 4000 feet from the base of a rocket launching pad. If…

A:

Q: The energy (in electron-volts) for a photon with a wavelength 260 nm is:

A:

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

A:

Q: A car traveling at 40 ft/sec decelerates at a constant 5 feet per second squared. How many feet does…

A: According to third equation of motion v2-u2=2as Here, v = final velocity u= initial velocity a=…