A plane flies 1.2 hours at 150 mph on a bearing of 10°. It then turns and flies 6.8 hours at the same speed on a bearing of 100°. How far is the plane from its starting point?

Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

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Q: A plane flies 1.5 hours at 130 mph on a bearing of 20°. It then turns and flies 4.1 hours at the…

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Q: . The windshield wiper of a car is 24 inches long. How many inches will the tip of the wiper trace…

A: Given that the length of the wiper of a car = 24 inchesThe circumference of the circle of radius 24…

Q: A radio antenna, 20 ft high is located on top of a man-made platform.  A man situated on the ground…

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Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

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Q: In AHIJ, the measure of J=90°, IH = 65, HJ = 56, and JI = 33. What is the %3D %3D value of the sine…

A: First sketch a triangle for the given measures as shown below.

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

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Q: A plane flies due west for 2 hr then due south for 1 hr at an average speed of 375 mph. To the…

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Q: A plane flies 1.3 hours at 110mph on a bearing of 30°. It then turns and flies 2.3 hours at the same…

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Q: A truck with 38 inch diameter wheels is traveling at 55 mi/h  Find the angular speed of the wheels…

A: Given the diameter of the truck wheel is 38 inch and it is travelling at 55 mi/h.

Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west…

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Q: An object is traveling around a circle with a radius of 10 m. If in 50 seconds a central angle of…

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Q: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still…

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Q: 25 ft. - 42 ft.-

A: height of flagpole = 25 ft  length of shadow = 42 ft

Q: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

A:

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

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Q: After force landing, an airplane pilot radios her position to a pair of radar stations 75 miles…

A: Given After force landing, an airplane pilot radios her position to a pair of radar stations 75…

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: 1. A car travelling 60 mph has a wheel with diameter of 20 inches. What is the angular speed of the…

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Q: A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies…

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Q: an airplane is heading north at an airspeed of 600 KM/HR, but there is a wind blowing from the south…

A: Consider the vector graph:

Q: A 14 foot ladder leans against a building. The angle between the ground and the ladder is 30…

A: A 14 feet ladder leans against a building. Angle between ground and ladder is 30°

Q: The figure shows a 200-foot tower on the side of a hill that forms a 5° angle with the horizontal.…

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Q: A plane with an airspeed of 190 mph is flying on a bearing of 120 degrees.  A wind is blowing from…

A: To calculate the (absolute) velocity vector , given the relative velocity vector

Q: The SS Bigfoot leaves Yeti Bay on a course of N37 degrees west at a speed of 50 miles per hour.…

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Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

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Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h.(a) Find the angular speed of the wheels…

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Q: A planet has an angular diameter of about 0.7 degrees and a distance of about 157 km. Whats its true…

A: Given data: The angular diameter is θ=0.7°. The distance is s=157 km.

Q: The pilot of a small airplane flying 300 m above the ground notices a village off the left wing at a…

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Q: A projectile is fired at a speed of 840 m/ sec at an angle of 60°. How long will it take to get 21…

A: Given:

Q: A wheel 3ft in diameter, rolls up an incline of 15 degree. When the point of contact of the wheel…

A: Given: The angle between the radius and the vertical is the same as the angle of the incline h =…

Q: From the top of a building at 87.sm, Super Barn Sees his neighbor yekkó the Yak Sitting by his Yert…

A: Given:- From the top of a building at 87.8m, Super Barry Sees his neighbour Yekkó the Yak Sitting by…

Q: A 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: A pilot wants to fly on a bearing of 66.8°. By flying due​ east, she finds that a 55.5​-mph ​wind,…

A:

Q: A ship travels west at 25 knots. At 7:30 p.m., the captain sees a floating becon due south of the…

A: to find:- distance between ship & beckon at the first sight.

Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: A steamer sails 100 miles due east and then 40 miles on a bearing of 60 degrees.  How far is the…

A: To locate the steamer with respect to distance and the bearing in reference to the starting point

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

A:

Q: Two observers at point A and B, 150 km apart, sight a balloon between them at angles of elevation…

A: "ASA" is when we know two angles and a side between the angles. "ASA" means "Angle, Side, Angle" To…

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: The roof is 32.0 ft wide. If the rafters are 18.0 ft long, at what angle will the rafters be laid at…

A:

Q: A planet has an angular diameter of 0.6 degrees and a distance of about 147 km. What is its true…

A: To find the true diameter, when angular diameter=0.6 degrees, and a distance is 147 km.

Q: A 26-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h. (a) Find the angular speed of the…

A:

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: Given: Formula used: a2=b2+c2-2bc cos A