| 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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