Bearings and Distances(2) Scale drawings Bearings and Distances How far is the yacht from the tanker? The yacht shown is 76km from a port on a bearing.

Slides:



Advertisements
Similar presentations
The Navigation Problem Trigonometry Mr. Brennan A plane flies for 2.25 hours (from an airport) at a speed of 240 km/hr Then on a course of 300 degrees.
Advertisements

Warm-up 10/29.
Sine Rule (Bearings) Trigonometry.
GCSE Mathematics Targeting Grade C Shape and Space Unit 5 Bearings.
Rate-Time-Distance Problem By M. L  Two jets leave Denver at 9:00 A.M., one flying east at a speed 50 km/h greater than the other, which is.
Electromagnetic-laser - 1.7, 5.0, 11.7 and 35.1 kHz - Footprint 30-35m - Δt= 10Hz Δx= 3-4m 200km data sets per flight Ice thickness Surface roughness Bulk.
4.8 Rate-Time-Distance Problems
Example 1 A helicopter leaves an airport and flies north at 180 miles per hour. An hour later, an airplane leaves the airport flying in the same direction.
APPLICATIONS OF TRIG TO NAVIGATION AND SURVEYING 9.5
1 Calculator Ready Forms 2 d > e The Side Opposite The Given Angle is Larger.
Vectors (10) Modelling.
Solving Systems of Equations
Fasten your seatbelts A small plane takes off from an airport and rises at an angle of 6° with the horizontal ground. After it has traveled over a horizontal.
Bearings.
TRIGONOMETRY Lesson 3: Solving Problems Involving Right Triangles.
Pythagoras Problems.
Area of ANY Triangle B a C c b A If you know C, a and b
Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.
Sine Rule and Cosine Rule
9.5 APPLICATION OF TRIG NAVIGATION.
Bearings Introduction Oil rig 2      Oil rig 5 Oil rig 4 Port  Oil rig 1 Oil rig 3 North Determine the 3 figure bearings of each of the oil rigs.
Quiz Thursday (Algebra range – pages excluding and starred problems)
VECTORS AND TWO- DIMENSIONAL MOTION Properties of Vectors.
The Law of Cosines. If A, B, mid C are the measures of the angles of a triangle, and a, b, and c are the lengths of the sides opposite these angles, then.
In this presentation, you will learn how to solve problem number 5 which involves Rate, Time,and Distance. You will solve this problem by using the.
Applications and Models
Locus Learning Outcomes  Identify the locus of a point in simple cases such as: The loci of angles The loci of points The loci of lengths.
Problem 1 A man was walking home from work and on his way home he traveled a distance of 25 km west, 12 km north, and then back 2 km east. What was his.
Foundation Tier Problems You will be presented with a series of diagrams taken from an exam paper. Your task is to make up a possible question using the.
Chapter 4, Lesson 8 Rate-Time- Distance Problems By:A. s.
Right Triangle Trigonometry
The Cosine Rule A B C a c b Pythagoras’ Theorem allows us to calculate unknown lengths in right-angled triangles using the relationship a 2 = b 2 + c 2.
Graphical Approach to solve multi-step problems T. T. Liang, Brain Maths, Vol. 2, problem 44 The railway distance between town X and Y is 680 km. A train.
This triangle will provide exact values for
A 2 = b 2 + c 2 – 2bcCosA Applying the same method as earlier to the other sides produce similar formulae for b and c. namely: b 2 = a 2 + c 2 – 2acCosB.
Vectors: Word Problems
Bearings.
Homework Questions. Applications Navigation and Force.
Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and.
Law of Cosines 2014 Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 An oblique triangle is a triangle that has no.
Lesson 3: Solving Problems Involving Right Triangles
Horizontal line line of sight. A fire 20km from a man has a bearing of 60 degrees west of north, how far is the fire north of a man, and how far.
Copyright © 2005 Pearson Education, Inc. Slide 2-1 Solving a Right Triangle To “solve” a right triangle is to find the measures of all the sides and angles.
6.7 Applications and Models. 2 What You Should Learn Solve real-life problems involving right triangles. Solve real-life problems involving directional.
Bridge Design A bridge is to be built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41 W.
Do Now: A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. If a fire department’s longest ladder is 110.
1.8 & 1.9 Words Into Symbols Problem Solving w/equations
The Cosine Rule A B C a c b Pythagoras’ Theorem allows us to calculate unknown lengths in right-angled triangles using the relationship a2 = b2 + c2 It.
Applications and models
1.8 & 1.9 Words Into Symbols Problem Solving w/equations
Foundation Tier Problems
The Cosine Rule A B C a c b Pythagoras’ Theorem allows us to calculate unknown lengths in right-angled triangles using the relationship a2 = b2 + c2 It.
Objective: Apply the law of cosine. (SAS) and (SSS)
Scale Drawings of Bearings
Objective: Solve real-life problems involving directional bearing
Day 77 AGENDA: DG minutes.
Bearings Thursday, 08 November 2018.
The Theorem of Pythagoras
Literacy Research Memory Skill Practice Stretch!
Law of Sines.
Foundation Tier Problems
Section T.2 Part 2 Right Triangle Applications
Bearings Sunday, 17 February 2019.
Bearings s.small.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Precalculus PreAP/Dual, Revised ©2017 §6.1B: Directional Bearing
Speed Formula Quarter 4.
Speed Notes.
Finding the hypotenuse
Trigonometry – Bearings – Bingo Method
Presentation transcript:

Bearings and Distances(2) Scale drawings

Bearings and Distances How far is the yacht from the tanker? The yacht shown is 76km from a port on a bearing 032º. An oil tanker meanwhile is 80km from the same port on a bearing 127º.

Bearings and Distances How far apart are the planes? Two planes leave Heathrow airport at the same time. One plane flies 104km on a bearing 080º. The second plane flies 90km on a bearing 178º.

Bearings and Distances How far apart are the ships? A ship is 45km from Dundee on a bearing 098º. A second ship is 77km from Dundee on a bearing 141º.

Bearings and Distances How far apart are the oilrigs? The bearings and distances of two oilrigs from Aberdeen are [022º,106km] and [118º,96km]

Bearings and Distances How far is the supply ship from the liner? An ocean liner lies in position [144º,77km] from a port. Its supply ship lies in the position [207º,67km] from the port.

Bearings and Distances Find the total distance that the supply ship will travel to supply the three oilrigs. The distance and bearings of three oilrigs from a port are given by [055º,60km], [103º,89km] and [170º,90km]. Make a scale drawing to show the 3 oilrigs and the port. A supply ship leaves port and travels to each of the oilrigs in turn before heading back to port.

Bearings and Distances How far apart are the planes at the present time? In flight refueling is to take place between a Harrier Jet and a Supply Refueling Plane. The Harrier is [127°,118km] while the Supply Plane is at [272°,88km].

Bearings and Distances What is the total distance flown by the helicopter? Three submarines in the North Sea have distances and bearings from Dundee of [045°,100km], [086°,93km], [163°,98km]. A helicopter leaves Riverside Airport and flies to each of the submarines in turn before returning to Dundee (Riverside).