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

Order a 12-month Year 7 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 8 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 9 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 10 Interactive Maths software Homework Licence for only $19.95.

Year 9 Interactive Maths - Second Edition


Problem Solving

The solution to many practical problems in navigation, surveying, engineering and geography involves solving a triangle problem.  In this section, we will restrict the problems to those that involve right-angled triangles.

To solve a problem, read it carefully and use the given information to draw a diagram.  Write the given facts in the form of an equation and use an appropriate pronumeral to represent the unknown.  Then solve the equation for the unknown and state the answer in words.


Example 14

The diagonal strut of a rectangular gate is 4 m long, as shown in the following diagram.  If it makes an angle of 60º with the base side of the gate, find the height of the gate correct to 2 decimal places.

Solution:

Let the height of the gate be h m.

In the right-angled triangle ABC,

So, the gate is 3.46 m high.

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