A merry-go-round has a radius of 15 feet. If a passenger gets on a horse located at the edge of the wheel and travels 36 feet, find the angle of rotation to the nearest degree."

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: connected from a window on one building to a u s-line is 10 yards long with an angle of depressi

A:

Q: In a circle of radius 7 miles, the length of the arc that subtends a central angle of 2 radians is

A: Topic:- geometry

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: A merry-go-round has a radius of 15 feet. If a passenger gets on a horse located at the edge of the…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

Q: Find the length of a circular arc with a radius 12 centimeters sub tended by the central angle of 30…

A: To find the length of a circular arc.

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: Find the radian measure of the central angle of a circle of radius 4 yards that intercepts an arc of…

A:

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 5 radians is

A:

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

Q: On a circle of radius 5 feet, what angle would subtend an arc of length 7 feet? degrees

A: I have appended the formula used in the solution part.

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: Through what approximate angle of rotation must a baseball pitcher turn when throwing to first base…

A: We have given a square where the home plate is bottom of the square and first base is at the right…

Q: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: Find the measure of the indicated angle to the nearest degree.

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

A:

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: A water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

A:

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: Find the radius r of the circle if an arc of length 40 cm on the circle subtends a central angle of…

A:

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 1 feet? degrees

A: The radius of a circle is r=9 feet. The length of the arc is L=1 feet. The objective is to find…

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 3 feet? degrees

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: Find the length of an arc of a circle with radius 18cm if the arc subtends a central angle of 30…

A: Here we find the length of an arc of a circle with radius 18 cm if thearc subtends a central angle…

Q: On a circle of radius 5 feet, what angle would subtend an arc of length 6 feet? degrees

A: Given that,  r = 5 feet Arc length = 6 feet. The formula to find angle is,

Q: An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following…

A:

Q: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

Q: Find the area of the sector of a circle with radius 5 yards formed by a central angle of 5 radians:…

A: Use the formula for area of sector of area= π*r*r* angle/360°

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: On a circle of radius 7 feet, what angle would subtend an arc of length 4 feet? Preview degrees

A:

Q: A coconut tree is casts a shadow of 20 feet long. The angle of elevation of the sun is 30 degree.…

A:

Q: Find the radius of a circle which has a sector of area 6 square inches determined by a central…

A: Given,  Area of sector = 6 square inches Central angle = 110° = 11π/18   Area of sector = 0.5 ×…

Q: Find the measure of the indicated angle to the nearest degree

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: Find the radius of the circle if an arc of length 4 ft on the circle subtends a central angle of…

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A:

Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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.