A lighthouse lies 200 metres from a straight shore. The light rotates at a rate of 2 revolutions per minute. A piling marks the spot on the beach nearest the lighthouse. Find the speed at which the light beam is moving along the shore at a point 200 metres from the piling.

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on…

A:

Q: If a wind turbine with radius 15 feet makes 52 full revolutions every 1 minute, what is its linear…

A: To find the linear speed

Q: A street light is at the top of a 14 foot tall pole. A 6 foot tall woman walks away from the pole…

A:

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour (or one…

A: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour. And…

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Given that A street light is at the top of a 17ft tall pole.  A woman 6ft tall walks away from the…

Q: A street light is at the top of a 16 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Draw a diagram using the given information A 6 foot tall woman walks away from the pole with a…

Q: A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft…

A:

Q: tom is riding a bike with 9-inch diameter wheels which are rotating 6 revolutions per second. what…

A: tom is riding a bike with 9-inch diameter wheels which are rotating 6 revolutions per second. what…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

Q: A street light is at the top of a 14 foot tall pole. A 6 foot tall woman walks away from the pole…

A:

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

A:

Q: On a carousel, the outer row of animals is 20 feet from the center. The inner row of animals is 10…

A: Given  the outer row of animals is 20 feet from the centre The inner row of animals is 10 feet from…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: It is height and distance problem.

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Topic:- algebra

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: Please refer the attached image for complete solution. THANK YOU !

Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole…

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks…

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: From the given problem: v=dsdt=8ft/sec. Let, Distance,  Woman to pole→SShadow to pole→x  So, the…

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: A street light is at the top of a 14 foot tall pole. A 6 foot tall woman walks away from the pole…

A: This question is related to calculus .solved in step 2.

Q: A carousel has a radius of 17 feet and takes 28 seconds to make one complete revolution. What is the…

A: Given that the radaius of circle (r)= 17 feettime taken to complete one revolution =28 secThe…

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A man walks along a straight path at a speed of 6 ft/s. A searchlight is located on the ground 5 ft…

A: In the question it is asked to calculate at what rate the searchlight is rotating.

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Solve the given problem.

Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Firstly let us draw the diagram for given information as shown below and then find the how fast the…

Q: A man walks along a straight path at a speed of 4ft/s. A searchlight is located on the ground 30…

A: Given data is : dxdt=4 ft/sec To find the Rate of the searchlight is rotating

Q: A circular blade with a 12-inch diameter spins at a rate of 1800 rpm (revolutions per minute). Find…

A: It is given that a circular blade has diameter 12-inch which spins at the rate of 1800 revolutions…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Heights and distance

Q: A 6 1/2-inch circular power saw blade rotates at 4900 revolutions per minute.  (b) Find the linear…

A: We have to find the linear Speed

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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.