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 |