A sailboat that is 2 km due west of a lighthouse sends a signal to the lighthouse that it is in distress. The lighthouse quickly signals a rescue plane that is 7 km due south of the lighthouse. What heading from due north should the plane take in order to intercept the troubled sailboat?

Q: A ship is 9 miles east and 6 miles south of a harbor. What bearing should be taken to sail directly…

A:

Q: Use the parallelogram ABCD to solve problems 1 and 2. B. 20° 35

A: Now we will find the angle ABC  We know that the sum of three angles of traingle is  180° .

Q: The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed…

A: Given The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a…

Q: The radius of each wheel of a car is 16 inches. At how many revolutions per minute should a spin…

A: First convert the speed from miles per hour to inches per min and obtain 95040 inches/min.…

Q: A hiker started heading due​ north, then turned to the right 46°​, then turned to the left 36°, and…

A:

Q: A ship is headed due north at a constant 18 miles per hour. Because of the ocean current, the true…

A: We have a triangle with sides of length 18 and 16,and an angle of 15° - 0° = 15° opposite…

Q: All of the following are coordinates on the same straight line except

A: To find which of the point does not lies on the same line.

Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: Desiree drove north for 30 minutes at 50 miles per hour. Then she drove south for 60 minutes at 20…

A: Desiree drove north for 30 minutes at 50 miles per hour. Then she drove south for 60 minutes at 20…

Q: The hanger is unbalanced. Which side will it tip over?

A:

Q: A pilot flies in a straight path for 1 hour 15 minutes. She then makes a course correction, heading…

A: Distance travelled = Speed * Time of travel

Q: The TOUR de France is happening on the 26th June 2021 from BREST to MÜR DE BRETAGNE. Mark cycles…

A: The relationship between the distance, speed, and time is defined using the formula:…

Q: An airplane traveled north for 250 miles and west for 325 miles before reaching its destination. If…

A: Given that an airplane traveled north for 250 miles and west for 325 miles before reaching its…

Q: At noon, ship A is 20 kilometers north of Ship B. Ship A is traveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: At 9 AM, ship B is 65 miles due east of another ship A. Ship B is then sailing due west at | 10…

A: Given

Q: To a cyclist travelling due north along a straight road at 10km/h, the wind appears to come from the…

A:

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

Q: At 3:00 PM, a boat is located 12.5 miles due west of a radar station and is traveling at 11 mph in a…

A:

Q: To end up due north, the pilot will need to fly the plane degrees east of north

A:

Q: If l1 is parallel to l2 and m1 = - 1/4, then m2 is

A: When two lines l1 and l2 are parallel to each other having slope m1 and m2, then their slopes are…

Q: From point A on the ground, a jet ski travels due north at a distance of 15 nautical miles and…

A: Applications of Pythagoras theorem

Q: A ship is headed due north at a constant 18 miles per hour. Because of the ocean current, the true…

A:

Q: Pat and Mel decide to test their new walkie-talkies, which have a range of six miles. Leaving from…

A:

Q: Given the following two lines,  (b) what is their intersection point?

A: The equation of line is given by, y=mx+c Here, m is slope, and c is intercept on y axis.

Q: Which of the following steps are necessary to construct a parallel line through a point not on the…

A:

Q: A ship is headed due north at a constant 24 miles per hour. Because of the ocean current, the true…

A: Given: A ship is headed due to north at a constant 24 miles per hour. Because of the ocean current…

Q: Given this process of constructing parallel lines, what would be the next step?

A: The process of constructing parallel lines is given. We have to find out the next step. Let we take…

Q: A ship is headed due north at a constant 22 miles per hour. Because of the ocean current, the true…

A: To Determine: A ship is headed due north at a constant 22 miles per hour. Because of the ocean…

Q: A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading…

A: According to cosine formula b2=a2+c2-2ac cos B . Here A,B,C represents the angle of the triangle .

Q: A pilot flies in a straight path for 1 hour 30 minutes. She then makes a course correction, heading…

A: According to the question,Speed = 400 mih

Q: Which of the following IS NOT parallel to HA A B H F E C D

A: Given figure:-

Q: If VW is not parallel to UX, what is VW?

A: Clearly from the figure we can see that the base angles are same. So this figure is an isoceles…

Q: An airplane is flying at an airspeed of 600 km/hr in a cross-wind at 50 km/hr that is blowing from…

A: Given: A  = The Airspeed     = the speed of airplane in wind. = 600 km/h  (Black vector) w = The…

Q: seen in the accompanying diagram, a person can travel from New York City to Buffalo by going north…

A: Here we have to find the angel using diagram.

Q: Given that x is a positive number and that y is a positive number, determine the quadrant or axis in…

A: Given,    (-x, y)  Where x &  y are positive quantity.    So from given, it is observed that…

Q: Which line in the figure at right is a transversal?

A:

Q: A boat leaves Oakville and heads due east for 5km as shown in the diagram at the left. At the same…

A: To find the distance between the two boats when they reach their destination

Q: A ship headed due east is moving through water at a constant speed of 16 miles per hour. However,…

A: Consider the given data. Draw a rough graph of the given data as shown below.

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: Given: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions…

Q: Line AB B:

A:

Q: what point will you be indifferent between your current location and the new location?

A:

Q: a pilot must actually fly due west at a speed of 382 mph against a head wind of 55 mph blowing in…

A: Plane speed depends on the wind.so we can say that actual direction and speed is equal to plane +…

Q: Which formula would you use to determine if the diagonals of a kite are perpendicular?

A: We can use the slope formula to determine whether line segments that from sides or  diagonals are…

Q: A plane flies 300 miles straight West and then turns 55° North of West and travels for 200 miles.…

A: please check step 2 for solution

Q: The figure to the right shows two parallel lines intersected by a transversal. Let x= 114°. Find the…

A:

Q: A plane is 34 miles north and 80 miles east of an airport. What bearing should the pilot take to fly…

A: Given query is to find the bearing.

Q: A hiker climbs for a half mile up a slope whose inclination is 17°. How many feet of altitude, to…

A: To find: The length of altitude that hiker gain. Formula used: Trigonometric ratio: sin α=ph Here, p…