Two planes leave the Minneapolis-St. Paul International Airport at approximately the same time. One plane is flying 425 mph at a bearing of N 5° W, and the other is flying 530 mph at a bearing of S 67° E. To the nearest mile, how far apart are the planes after 2 hours?

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 320…

A: Given diameter of d = 320 millimetres  Each brake pad, which presses against the drum, is s = 309…

Q: Starting from J, the third member ran the direction similar as the second did. At what point did the…

A: There are 12 letters, hence, distance between any two letters  =  (2π) ÷ 12  =  π/6 rad    And…

Q: 54

A:

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

Q: Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel…

A:

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: We use the Given find the maximum amount of water. We are use the width one- third part is 10 cm.

Q: At 10:30 AM Aristotle notices the angle of the sun makes a 15 meter shadow when it is behind a 12…

A:

Q: How long would a ladder need to be to reach 19 ft high, if it placed so that the base of the ladder…

A: The objective of the question is determine the length of the ladder.

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Given,The speed of pilot is 620 mi/hThe pilot flies in a straight path for 1 h 30 min.After 1h 30…

Q: Two people start from the same point. One walks east at 4 mi/h and the other walks northeast (45…

A:

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A motorboat traveling across a wide river is headed 50 degrees north of west at a rate of constant…

A:

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: Find the measure of an arc in radians if the radius of the arc is 6.1 cm and the length of the arc…

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: 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: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

A:

Q: A pilot flies in a straight path for 2 hours. He then makes a course correction, heading 15 degree…

A:

Q: Two ships leave port at the same time. One travels at 5 km/h on a bearing of 046°. The other travels…

A: for first ship speed = 5 km/h angle α = 46°   for second ship speed = 9 km/h angle β = 127°   time =…

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

A:

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: A pendulum swings through an angle of 20° each second. If the pendulum is 40 inches long, how far…

A: Pendulum forms a circular arc.We know the formula - Angle subtended = ArcRadius…

Q: A water tower is located 325ft from a building. From a window on the 10th floor, the angle of…

A: As given in the question distance of water tower is 325 ft from building, the angle of elevation to…

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

A:

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: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: An aircraft is climbing at a 30 degree an

A: Given: An aircraft is climbing at a 30∘ angle to the horizontal.

Q: Two ships leave a port at the same time. The first ship sails on a bearing of 32° at 16 knots…

A: The first ship's trajectory and the second ship's trajectory actually form a right angle, since one…

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 80 (km)/(hr.)…

A:

Q: From a point 20 ft. above the surface of the water, the angle of elevation of a tree standing at the…

A: To find out the height of tree and horizontal distance from the point of observation.

Q: =) Solve the problem. 9) Suppose the tip of the minute hand of a clock is 8 inches from the center…

A:

Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

A:

Q: A radio tower 500 feet tall, and the ground on one side of the tower has an inclination to the…

A:

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: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 31°.…

A:

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

Q: An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the…

A:

Q: Two ships, one sailing at 30mi/h and the other at 45mi/h. left port at the same time. Three hours…

A:

Q: Dana is attaching a shelf to a wall and needs the shelf to br parallel to the floor. How many…

A: Given that, Dana is attaching a shelf to a wall and needs the shelf to be parallel to the floor.This…

Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

A:

Q: Two ships left Port Hope on Lake Ontario at the same time. One travelled at 12 km/h on a course of…

A:

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: 1°=60'Therefore, 48°30'=48.5°44°10'=44.167°

Q: The radius of a car wheel is 15 inches. If the car is travelling 65 miles per hour, what is the…

A:

Q: a ship is 2.3 degrees off course if the ship is travelling at 11 miles per hour how far course will…

A: distance travelled by ship d (speed = 16 miles per hour) so distance d = speed*time =11*3 =33 miles

Q: What bearing and airspeed are required for a plane to fly 320 miles due north in 2.0 hours if the…

A:

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

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.