2.7 Solving Problems Involving More than One Right Triangle
When more than one right triangle is involved, we have to decide with which triangle to start.
Example 1
Find the measure of ABD .
A
5 cm D 7 cm
C
18 cm
B
Check Your Understanding 1
Find the measure of TRU .
R
S
39.4
33.5 m
T
27.2 m
U
(Answer: TRU  44.67 )
MTH10: 2.6 Solving Problems Involving More than One Right Angle
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Example 2 (Note: angles look different when they’re drawn in perspective)
A surveyor measured the height of a vertical rock face by finding the measurements shown. If
the surveyor’s theodolite had a height of 1.7 m, find the height of the rock face ( AB ).
A
B
60.2
Theodolite in use. Picture by David Shay, 2006.
C
44.7
28.3 m
D
Check Your Understanding 2
Find the length of AB .
D
48 cm
A
44
28
B
C
(Answer: 40.57 cm)
MTH10: 2.6 Solving Problems Involving More than One Right Angle
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