Solution:
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Note:
Corresponding angles are marked in the same way in diagrams.
Example 11
Find the value of the pronumeral in the following diagram.
##### Solution:
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Problem Solving
#### Example 12
Find the value of the height, *h* m, in the following diagram at
which the tennis ball must be hit so that it will just pass over the net
and land 6 metres away from the base of the net.
##### Solution:
So, the height at which the ball should be hit is 2.7 m.
Example 13
Adam looks in a mirror and sees the top of a building. His eyes are
1.25 m above ground level, as shown in the following diagram.
If Adam is 1.5 m from the mirror and 181.5 m from the base of the
building, how high is the building?
##### Solution:
So, the height of the building is 150 m.
Note:
a. Equal angles are marked in the same way in diagrams.
b. Two triangles are similar if:
- two pairs of corresponding sides are in the same ratio and the angle
included between the sides is the same for both triangles.
- the corresponding sides are in the same ratio.
- the corresponding angles are the same.
Key Terms
similar figures, scale
factor, equiangular, similar
triangles |