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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.
Example 14
Solution:
Let the height of the gate be h m.
In the right-angled triangle ABC,
So, the gate is 3.95 m high.
Example 15
A surveyor measures the angle to the peak of a hill from point A,
as shown in the diagram. Calculate the height, h, of the
hill rounded to 2 decimal places.
Solution:
In the right-angled triangle ABC,
So, the height of the hill is 113.03 m.
Angle of Inclination
The angle of inclination is the angle made by an object with the
horizontal (or vertical) as described by the situation.
Example 16
A ladder 5 m long has its end just resting on the top of a fence 3 m
high. What angle, to the nearest minute, does the ladder make with the
ground?
Solution:
Key Terms
angle of inclination
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