This video is about the Trigonometric Values present in Mt. Banahaw

1. TRIGONOMETRY
GEOGRAPHICAL SETTING OF
MT. BANAHAW
Group 4-SJE
Pada Nocon
Mijares Laygo
Pasiliao Sityar

2. Starting
Point

3. Kalbaryo
Base
Camp

4. • We started at the Ciudad de Mistica
de Dios 45
• Then we walked 30 mins. up
towards the base camp
• Then we trekked up at the Kalbaryo
2158 ft
• According to Wikimapia, the
elevation of the mountain is at 2158
45
ft.
• By the direction of our trek, we can
see a 90-degree angle which can
form a right triangle
• A 45 by 45 triangle is formed based
from the direction of the trek

5. 2158 ft
45
45

6. Kalbaryo
Base
Camp

7. • We went down the Kalbaryo, then
from the base camp, we went towards 45
Ilog Lagnos.
•From the direction of the trek
2158 ft
downward, we can form another
triangle with angle of 15 x 30 degrees
•From the illustration, we have already
45
formed the 30 x 60 triangle

8. 2158 ft
45
45

9. • Then we went down towards Ilog
Lagnos which is 158 ft below 45
• From the directions given, we
can say the we can form another
2158 ft
45 x 45 triangle.
45

10. 2158 ft
45
45

11. y g
• Now, we have to solve for the
missing values of the triangles 45
• Solutions for sides A,B,X,Y,Z
X
2158 ft
Z
f
45 k B
Y 158 ft
A

12. SOLUTION FOR SIDE A
Given:
158 ft (Side D)
45-degree angle (Angle d)
Find: Side A
sin d= D/A
sin 45= 158/A
A= 158/sin45
A~~223.44 ft

13. SOLUTION FOR SIDE B
Given:
158 ft (Side D)
45 degrees (Angle d)
Find: Side B
tan d= D/B
Tan 45= 158 ft/B
B= 158 ft/tan 45
B= 158 ft

14. SOLUTION FOR SIDE Y
Given:
2000 ft
45 degrees (angle k)
Find: Side Y
Solution:
Tan k= K/Y
Tan 45= 2000/Y
Y=2000/tan 45
Y= 2000 ft

15. SOLUTION FOR SIDE Z
Given:
2000 ft
45 degrees (angle k)
Find: Side Z
Solution:
Sin k= K/Z
Sin 45= 2000/Z
Z= 2000/sin 45
Z~~2828.42 ft

16. SOLUTION FOR SIDE X
Given:
2000 ft
30 degrees
Find= Side X
Sin f= K/X
Sin 30= 2000/X
X= 2000/sin 30
X= 4000 ft

17. y g
• The values of the sides are:
•A= 223 ft 45 15
•B= 158 ft
4000 ft
•X= 4000 ft
•Y= 2000 ft 2828 ft
•Z= 2828 ft
2158 ft
f
158 ft
45 k
2000 ft 158 ft
223 ft