1 / 6

Yacht Positioning and Triangle Area Calculation

This document outlines a mathematical scenario involving three yachts, A, B, and C, positioned in a horizontal plane. Yacht B is positioned 500 meters north of yacht A, and yacht C is 700 meters from A with a bearing of 015°. The calculations required include determining the distance between yachts B and C, as well as the bearing of C from B. Additionally, the area of a triangle is explored using the formula that involves sine of the included angle, demonstrating how to compute the area even without height.

dustin
Télécharger la présentation

Yacht Positioning and Triangle Area Calculation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. C N  B 700 m 500 m 15 A C2 Jan 2008 Figure 1 Figure 1 shows 3 yachts A, B and C which are assumed to be in the same horizontal plane. Yacht B is 500 m due north of yacht A and yacht C is 700 m from A. The bearing of C from A is 015. (a) Calculate the distance between yacht B and yacht C, in metres to 3 significant figures. (3) The bearing of yacht C from yacht B is , as shown in Figure 1. (b) Calculate the value of  . (4)

  2. Area of a triangle We can find the area of a triangle easily using ½ x base x height However, what if you don’t have the height? a b 400

  3. Area We use the formula Area of triangle = ½ ab Sin C We MUST have an included angle b 400 a

  4. example 4.2cm 750 6.9cm

  5. Example 2 The area of this triangle is 12cm2. Find the value of x x 6cm 5cm

  6. Example 3 Find the total area 3.9cm 4.8cm 750 2.4cm

More Related