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Bridge Engineering Activity
Scaling height of heights!
Name:
Class:
Subject:
Date:
Team name:
Model name:
Aim of the activity:
Material(s) used:
Explain the concept applied:
Individual contribution to the team:
Engineering process:
1. Planning:
2. Engineering:
Scribble zone to design the instrument
Evaluation:
a) Complete the sketch below by putting in the correct distances and
angles.
b) Using your measurements use the correct trigonometric function and
solve for the distance of side XY, and then for the height of the wall/
building (XG). Show all your work.
c) Complete the following table with the appropriate measurements in
calculating the height of real structures with different methods:
Method 1:
Name of
Structure
Method 2:
mA
ZY
Trigonometric
Equation
YG
Height of
Structure
3. Testing/ tallying:
4. Re-engineering
Difficulties/constraints faced during the activity and how
were they overcome?:
Comments/ suggestions for other team’s posters:
Team name
Comments/suggestions
Summarize the project connecting with the given theme:
Review Sheet 1 (answer attached)
Score:
Teachers signature:
Solve the trigonometry crossword puzzle
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Down
2. A ratio of the measure of two
Across
sides of a right triangle (2 Words)
1. When solving a right triangle
3. The leg of a right triangle that is
problem where two triangles are
across from the angle of
together, _________ put them
reference (2 Words)
together. (2 Words)
4. The study of the properties of
7. The leg of a right triangle that is
triangles. Comes from two Greek
right next to the angle of reference
words meaning Angle
(2 Words)
Measurement.
8. The trig ratio that represents the
5. The angle made by the horizontal
adjacent over hypotenuse lengths
line of sight and an upward sight
of a right triangle
to the object (3 Words)
10. Abbreviated form of the word
6. The trig ratio that represents the
tangent
opposite over adjacent lengths of
11. This type of trig function is used
a right triangle
when we need to solve for the
9. The trig ratio that represents the
angle
opposite over hypotenuse lengths
13. A triangle having a 90-degree
of a right triangle
angle. (2 Words)
12. The three trigonometric _______
15. The side of a right triangle that is
are sine, cosine, and tangent.
located across from the right angle
14. Abbreviated form of the word
17. The angle made by the horizontal
sine
line of sight and a downward sight
16. Abbreviated form of the word
to the object (3 Words)
cosine
Review Sheet 2
Score:
Teachers signature:
I.Find the unknown side for the following:
Review Sheet 3
Score:
Teachers signature:
ILLUSTRATE THE FOLLOWING AND SOLVE USING CONCEPTS OF TRIGONOMETRY
1. A man is walking along a straight road. He notices the top of a tower
subtending an angle A = 60o with the ground at the point where he is
standing. If the height of the tower is h = 25 m, then what is the distance
(in meters) of the man from the tower?
Answer:
2. A little boy is flying a kite. The string of the kite makes an angle of
30o with the ground. If the height of the kite is h = 15 m, find the length
(in meters) of the string that the boy has used.
Answer:
3. Two towers face each other separated by a distance d = 25 m. As seen
from the top of the first tower, the angle of depression of the second
tower's base is 60o and that of the top is 30o. What is the height (in
meters) of the second tower?
Answer:
4. A ship of height h = 21 m is sighted from a lighthouse. From the top of
the lighthouse, the angle of depression to the top of the mast and the
base of the ship equal 30o and 45o respectively. How far is the ship from
the lighthouse (in meters)?
5. Two men on opposite sides of a TV tower of height 22 m notice the
angle of elevation of the top of this tower to be 45oand 60o respectively.
Find the distance (in meters) between the two men.
6. Two men on the same side of a tall building notice the angle of elevation
to the top of the building to be 30o and 60orespectively. If the height of
the building is known to be h =60 m, find the distance (in meters)
between the two men.
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Worksheet
Worksheet
Worksheet