G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Problem Solving Unit

Problem 15.1  Coins

You are given one coin with a diameter of 7 cm and a large supply of coins each with a diameter of 3 cm.

b.  What is the maximum number of smaller coins that may be arranged tangentially around the
     larger coin without any overlap?


Problem 15.2  Inscribed Triangle

A triangle is inscribed in a circle such that one side of the triangle is a diameter of the circle.  If one of the acute angles of the triangle has measure 40º and the side adjacent to that angle has length 9 cm, find the radius of the circle.


Problem 15.3  Motorcycle Ramp

A slope of a motorcycle ramp is defined as the ratio (or comparison) between the vertical rise and the horizontal run when riding between two points on the ramp. That is:

1c.  What angle to the nearest minute is made by a ramp of maximum allowable slope?

2a.  Find the distance that the rider will cover on the following ramp (i.e. calculate BE).

2c.  The rider moves at a constant speed of 30 km/h on the ramp. How long is he on the ramp for? Round your answer to the nearest second.

2d.  Calculate the length of the diagonal AE.

 

Study Another Topic in Chapter 15: Trigonometry

Naming the Sides of a Right-Angled Triangle ] Finding Side-Lengths ] Using the Cosine Ratio ] Using the Tangent Ratio ] Using a Graphics Calculator ] Finding Angles ] Using Inverse Cosine ] Using Inverse Tangent ] Problem Solving ] Composite Figures ] Directions and Bearings ] Angles of Elevation and Depression ] Three-Dimensional Problems ] [ Problem Solving Unit ] Projects ] Symbols ] Index ]

 

Study Another Chapter
 

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