81. Nautical Miles Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minute (1 minute = degree). This distance is called a nautical mile. (The radius of the earth is 3960 mi.) 82. Irrigation An irrigation system uses a straight sprinkler pipe 300 ft long that pivots around a central point as shown. Because of an obstacle the pipe is allowed to pivot through 280° only. Find the area imrigated by this system. 280°

Q: 14. In order to find the height of a pyramid, a scientist measures the angle of elevation between…

A: Here, we need to find the height of the pyramid, CD. Given: AB = 200ft

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 106 m…

A: The bell tower of the cathedral in pisa Italyleans 5.6° from the vertical. A tqurit stands 106 mfrom…

Q: 39. Find the angle of depression from the top of a lighthouse 275 feet above water to a boat 1,324…

A:

Q: 22. An airplane approaches the runway at an 18 degree angle. If the airplane is 1000 ft away from…

A: Given query is to find the height of the height of the plane.

Q: 5. A rectangular piece of wood 4 cm. x 2 cm. tall is tilted at an angle of 45 degrees. Find the…

A: The length and breadth of the rectangle are 4cm and 2cm rescpectively.

Q: 11. From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: By given data ,we draw a diagram,

Q: 3. The angle of elevation of the top of a cellphone tower to a point on the ground is 40 The…

A:

Q: The radius of a circle is 7. What is the length of an arc that subtends an angle of 37 radians? 14

A: There are basically two equations for finding out the length of arc of circle; Length of an arc =…

Q: 17. A central angle in a propeller of a helicopter measures 6 radi- ans. If the distance starting…

A: Measure of Central Angle ,θ = 6 RadiansDistance from centre to tip , r = 220 cmwe have to find the…

Q: 31. The angle of elevation from the control tower to an airplane is 49°. The airplane is flying at…

A:

Q: 8. A hiker wants to estimate the height of a mountain before attempting a climb to the top. Her…

A: Let the height of the mountain be h feet. Let initially the hiker is at a distance of x feet from…

Q: Find the length of the arc on a circle of radius r intercepted by a central angle θ. Radius r…

A: Let S be the arc length.

Q: 17. To measure cloud height at night, a vertical bean of light is directed on a spot on the cloud.…

A: We have to find the height of cloud .

Q: A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the…

A: Since, we have been given that A denotes the area of the sector of a circle of radius r formed by…

Q: 2. A windshield wiper rotates through a 120° angle as it cleans a windshield. From the point of…

A: Given, A windshield wiper rotates through a 120° angle as it cleans a windshield. From the point of…

Q: 9. A water sprinkler shoots out water for 20 feet and turns an angle of 150 Degrees. Draw the…

A: as per given information construct circle as below:

Q: 26. The angle of depression of a television tower to a point on the ground 36.0 meters from the…

A: Given the angle of depression which is 29.5°

Q: Electrical wire is being wound around a drum with radius of 1.5 meters. How much line would be wound…

A: Given radius (r) = 1.5 meters Angle (theta) = 302.2 degrees We have to find the arc length (s)

Q: 6. The guide wire to support a radio tower is positioned 100 feet up the tower. It forms a 60-degree…

A:

Q: A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the…

A:

Q: A unicycle wheel has diameter 36 in. Determine the distance that the wheel will roll when it turns…

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Q: 2. The angle of depression of an object from 50 m vertical cliff is 39°. How far is the object from…

A:

Q: 2 A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as…

A: The young man has height 1.7 m tall with angle of elevation of the top of pole as 40°. Sketch the…

Q: 5- Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a…

A:

Q: The angle of depression of a television tower to a point on the ground 36.0 meters from the bottom…

A: Solve it.

Q: Find the length S of arc of a circle of radius 30 centimeters subtended by the central angle 57 S…

A: The radius of segment r = 30 cm Central angle θ= 57°

Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

A:

Q: 5. The angle of elevation of a building 80 m high from a man on the ground is 50.41°. How far is the…

A:

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A:

Q: Two pieces of steel angle are welded to form right angles. The lengths of the two pieces are 5.0 ft…

A: Let us visualize how it will look like:

Q: 14. What is the angle of elevation, to the nearest tenth of a degree, to the top of a 35-foot…

A: tanθ=PB P is perpendicular and B is base of right angle triangle.

Q: 28. A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the…

A: Arc length =3cm Radius =2cm  Angle?

Q: Please help me salve

A:

Q: 4. To measure the height of cloud cover at an airport, a worker shines a spotlight upwards at an…

A:

Q: 5. Find the measure of the angle of elevation of the sun when a boy 5 feet tall casts a shadow 5…

A: First draw the diagrams depicting the scenarios. Then, use the trigonometric ratios to find the…

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

A:

Q: 2. The angle of depression from the tip of an airplane as it descends towards the landing strip is…

A: 2.

Q: 20. To measure the height of Lincoln's caricature on Mt. Rushmore, two sightings 800 feet from the…

A: Given:

Q: 12) The angle of elevation to the top of empire state building is from the ground at a distance of 8…

A:

Q: 2. Michael stands 16 metres from the base of a building. He measures the angle of elevation to the…

A: Given data:- Distance between Michael and base of the building is = 16 m. Angle of elevation…

Q: he city park district is planning on sodding the outfield of the little league baseball field. The…

A: This is a baseball field. Here side of home plate = 60 ft Radius of sector =310 ft We have to find…

Q: The radius of a circle is 8 kilometers. What is the angle measure of an arc bounding a sector with…

A:

Q: 3.From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of…

A:

Q: 12) The deck of a bascule bridge creates an arc when it is moved from the closed position to the…

A: Topic- arc of circles

Q: Two pieces of steel angle are welded to form right angles. The lengths of the two pieces are 6.0 ft…

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Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

Q: You look to see how far a point near the most intense part of the storm near Columbia City is from…

A: Solving the problem by finding the value of x.

Q: 14, A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from…

A: Given : A cell phone tower is anchored by two cables on each side for support. The cables stretch…

Q: 9) (10pts) The angle of elevation to the top of a building from a point on the ground is 37°. If the…

A: This a basic question related to Theory of trignometry .It can be solved using simple formula of…

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A: