This mathematics assignment applies trigonometry to measure the heights of real-life structures. [1] Students measured the body heights of four classmates, the angles of elevation to view the top of structures, and the distances between the observer and structures. [2] Using trigonometric functions like tangent, the students calculated the heights of the structures. [3] Trigonometry allows heights to be determined for objects too tall to directly measure with a ruler.

1. MATHEMATICS ASSIGNMENT 1
Group 1:Farzana Afiqah Bt Redzuan
Nurhalifah Bt Md. Jais
Nurul Jannah Bt Anuar
Md Shafwan Bin Shafri

2. • INTRODUCTION
• CREATING CLINOMETER
• MEASUREMENTS
• DIAGRAMS & SOLUTIONS
• CONCLUSION

3. Trigonometry (from Greek trigōnon "triangle"
+ metron "measure") is a branch of mathematics that
studies triangles and the relationships between their
sides and the angles between these sides. The
objective of this assignment is to apply the knowledge
of trigonometry in finding the height of real-life
structures that are too tall to be measured by ruler.

5. Name Body Height (h) Angle (ϰ) Distance (d)
Lifah 1.43 m 36º 3.25 m
Shafwan 1.54 m 19º 1.50 m
Zana 1.45 m 41º 3.87 m
Jannah 1.53 m 35º 3.06 m

6. Lifah x
To find (angle of elevation):
36º
180 90 36
h¹ 54
To find h1 (height of object):
h1
ᶿ tan 54
d
d = 3.25m
h 1
d tan 54
h = 1.43m h 1
3.25m tan 54
h 1
4.47m
Total height, hT h h 1
h T
1.43 m 4.47 m 5.9m

7. Shafwan x To find (angle of elevation):
19º
180 90 19
h¹
71
To find h1 (height of object):
ᶿ tan 71 h1
d
d = 1.50m
h 1
d tan 71
h = 1.54m h 1
1.50m tan 71
h 1
4.36m
Total height, hT h h 1
h T
1.54 m 4.36 m 5.9m

8. Zana x To find (angle of elevation):
41º
180 90 41
49
h¹
To find h1 (height of object):
tan 49 h1
ᶿ d
d = 3.87m h 1
d tan 49
h = 1.45m
h 1
3.87m tan 49
h 1
4.45m
Total height, hT h h 1
h T
1.45 m 4.45 m 5.9m

9. Jannah x To find (angle of elevation):
35º
180 90 35
55
h¹
To find h1 (height of object):
h1
ᶿ tan 55
d
d = 3.06m h 1
d tan 55
h 1
3.06m tan 55
h = 1.53m
h 1
4.37m
Total height, hT h h 1
h T
1.53 m 4.37 m 5.9m

10. Trigonometry can be used to find the height of
object that are too tall to measure by ruler and it can
also be used to find the angle of elevation. The value is
then applied in real life for significant use. There are
several formulas in trigonometry to find different
values of different sides or angles. Trigonometry is very
useful especially for architects to measure for
renovating a building.