Distance at Sea From the top of a 200-ft lighthouse, theangle of depression to a ship in the ocean is 23. How far isthe ship from the base of the lighthouse?

Q: 109. Computing the Speed of a River Current To approximate the speed of the current of a river, a…

A: Given: The speed of the current of a river, a circular paddlewheel with a radius of 4 feet is…

Q: onvert 231 grams into ounces. Solve this using dimensional analysis

A: Given numbers of grams=231 We have Dimensional Analysis Formula to convert grams into ounces is: 1 g…

Q: A rancher has 152 ft of fencing to enclose a rectangular area that will be bonded on one side by her…

A: We have to find the largest area of rectangle.

Q: A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s =…

A:

Q: A Ferris wheel is 25 meters in diameter and boarded from a platform that is 3 meters above the…

A:

Q: An open-top box with a square base is to have a volume of 108 cubic inches. Find the dimensions of…

A: Let the length of each side of the base= x  Height= y So the volume of the box=x2y=108 From it we…

Q: Trigonometry Calculate the value of x to 2 decimal places: 23

A: In the given triangle,θ=23°, opposite side=5, adjacent side=x

Q: breadth depth areno.coinenter

A: Given; diameter=75cm Breadth=60cm.

Q: A circle of radius 3 crosses the center of a square of side length. Find the positive difference…

A: A circle of radius 3 crosses the center of a square of side length. We have to find the positive…

Q: person's height is positively associated With his Or her arm span the distance between the ends of…

A: A person's height is positively associated With his Or her arm span the distance between the ends of…

Q: 16. The length of the side of a square is the same as the radius of a circle. The perimeter of the…

A: Given: Length of side of square = Radius of circle Perimeter of square = 5.7 times Area of circle…

Q: The length storage container with an open top is to have a volume of 10 cm cubed. The length of its…

A: Solve the above problem .

Q: A water rocket is launched straight up into the air at a speed of 50 feet per second from a table 2…

A: Given:

Q: 8. A spring has a natural length of 10 cm. It takes 2J to stretch the spring to 15 cm. How much work…

A:

Q: 5) An egg was thrown vertically upward from the cornice of a 100-m high building. The egg left the…

A:

Q: During a lab experiment, the heart rate of a mouse is observed at three checkpoints along the…

A: We will use Pythagoras theorem to find correct expression

Q: 4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Volume of Grain Grain is falling from a chute onto the ground, forming a conical pile whose diameter…

A: Given: Grain is falling from a chute onto the ground, forming a conical pile whose diameter is…

Q: "A golf ball is launched upward with an initial speed of 30 m>sec by a golfer on the third level of…

A:

Q: sphere has a diameter of 16 inches. Solve for the surface area of the sphere. Show your work and…

A: Given diamter of sphere is 16 inchesWe know that radius=diameter2=162=8 inches

Q: SHOW DETAILED SOLUTION AND ILLUSTRATION: A rectangle is inscribed in a right triangle, 5 by 12 by 13…

A: A closed box has a square base.  This means the length and breadth of the box are equal.  Let the…

Q: A cylinder has radius 3 and height 4. Find the lateral area and the volume of the cylinder. Express…

A: Given:-radius of cylinder (r)=3height of cylinde (h)=4To find: the lateral area and volume

Q: ladder is leaning against a building so that the distance from the ground to the top of the ladder…

A: It is given that, a ladder is leaning against a building so that the distance from the ground to the…

Q: 15) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9…

A:

Q: 73. Geometry Find the length x if the shaded area is 1200 cm2

A: The given area of the shaded region is, 1200 cm2. From figure, it is observed that, the length and…

Q: A cylindrical vase has a radius of 3.2 cm. When filled to the very top, it holds 220.167 cubic…

A:

Q: Stalactites join stalagmites to form columns. A column found at Natural Bridge Caverns near San…

A:

Q: Solve the right triangle. 19 30° Write your answers in simplified, rationalized form. Do not round…

A:

Q: A Ferris wheel is 20 meters in diameter and boarded from a platform that is 4 meters above the…

A:

Q: 1.) You were riding a bicycle. You started traveling due north and covered a distance of 12…

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Q: Solve: A X- Express answer in exact form. Express answer in exact form. Show your work

A:

Q: Height of a cliff When a rock is dropped from a cliff into an ocean, it travels approximately 16t?…

A: Find the quadratic equation in terms of the variable time t using the speed , distance and time…

Q: DRAG & DROP THE ANSWER 109 in. 108 in. 110 in. 107 in. 70° 40 in. Height of the lamppost

A:

Q: A van and a car starting at the same time travel from A to B 1300 m apart. The van can travel 1300 m…

A: Distance between A and B = 1300m Van can travel 1300m in148 sec Thus speed of van SV = 1300148 Car…

Q: Surface area of a cone Write a formula that estimates the change that occurs in the lateral surface…

A:

Q: A painter leans a 25-foot ladder against the wall. The bottom of the ladder is 15 feet from the base…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: what are tow numbers their adding is (a) and multiplied of cubic of first with the square of second…

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Q: cone and a cylinder have the same radius and height. The volume of the cone is `100\pi` cubic feet.…

A: Given query is to find the volume of the cylinder.

Q: A ladder 6.5 meters long is leaning against a wall. The bottom end of the ladder is 2.5 meters from…

A:

Q: You are taking your first hot-air balloon ride. Your friend is standing on level ground,100 feet…

A: Given information: Consider the angles DCB is 31.7 degree and angle ACB is 76.2 degree. and ground…

Q: Think About a Plan A circular above-ground pool has a height of 52 in. and a volume of 1100 ft³.…

A: a circular above ground pool has a height of 52 in. and a volume of 1100 ft3.

Q: Metal Fabrication If an open box is made from a tin sheet 12 in. square by cutting out identical…

A: The slope is a ratio that tells how much y increases as x increases some amount. It tells about the…

Q: A cylinder has a surface area 44 pi square meters in a radius of 2 m. Find the height of the…

A:

Q: 90. Speed of Sound Sound travels at the rate of 1.127 X 10 feet per second. How far does sound…

A:

Q: . Gravity The gravitational force F exerted by the earth on an object having a mass of 100 kg is…

A: Given: Given that, Gravitational force, F exerted by the earth on an object having mass of 100 kg is…

Q: para Lo a lall bu of 3 feet from the building. What is the length of the shortest ladder that will…

A:

Q: A ladder leans against the side of a building. The base of the ladder is 1 meters from the building,…

A: We have to find out

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.