G. Tawfik
2. State the minimum conditions that
make
the triangles similar and calculate the missing side.
|
a.
|
b.
|
3. Line segments PN and MR intersect
at point
O, as shown on the diagram.
| a. Prove that the
triangles are similar.
b. Determine the measure of side MN. |
 |
4. Line segments AC and BD are the
two diagonals
of trapezoid ABCD.
 |
Prove that triangles ABE and CDE are similar. |
Trigonometry
1. A guy rope holding a pole, forms
an angle
of 550 with the horizontal.
The bottom of the rope
is 4,5 m away from the foot of the pole.
How high on the pole
is the top of the rope attached?
2. A flower box has the shape of a
triangular
prism.
The sides of the base
measure 18 cm, 33,75 cm and 38,25 cm.
| a. Prove that the
base of the prism forms
a right triangle.
b. What is the measure of each angle of this triangle? |
 |
3. A light boat has a triangular sail as shown in the diagram.
AC is
perpendicular to
CB,
CD is perpendicular to
AB and measures 2,12 m.
DB measures 1,5 m.
 |
a. What is the
measure of angle DCB?
b. Determine the height of mast AB. |
4. The angle formed by the path of
two boats
is 300.
In a few minutes, the
first one has covered a distance of 50 m after leaving the other,
and the second one has
covered 65 m, how far apart are they?
Similarity and Trigonometry Answers
Similarity
2.
a. AA AB =
6
b. SAS GH = 8
3. a. SAS b. MN = 8
4.
AA
Trigonometry
1. 6,43 m
2. a. (38,25)2 = (33,75)2 +(18)2