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PRESENTATION
USE OF TRIGONOMERTY IN DAILY LIFE WITH
CATAPULT
Trigonometry & catapult in daily life…..
•Aim : To find out the dimensions of the building & pyramid and the angle of elevations with the help catapult.
MATERIALS REQUIRED
CARDBOARD SAND COLORS SHOE BOX TISSUE PAPERS STRAWS CLAY CRAFT PAPERS METALLIC PIN RUBBER BAND ALUMINUM FOIL
Step 1 :Take a shoe box & straws of 25cm to make a building & pyramid.
Step 2 :Make a two catapults parallel to each other placed on road.
Step 3 :With the help of catapult & ball made up of aluminum foil striking the top of the building & pyramid.
25
Cm
25
cm
Step 4 :The distance between the building & pyramid is 44cm
IN ABC, B = 90.BC=30CM, AB= 25Cm ,AF=?
IN DEF, E= 90, DE = 25 CM, EF= 30 CM ,DC=?
A
BC
E
D
F
25
cm 25
cm
BC = 30 CM
EF = 30 CM
BE = 44 CM
Step 5 : Now with the help of Pythagoras theorem, in ABC; AB² + BC² = AC²
(25)²
(30)²
AC²=
1525 =
39.05…
(25)²
(30)²
DF² =
Step 6 : Now with the help of Pythagoras theorem, in DEF; DE² + EF² = DF²
1525 =
39.05…
With the help of logarithmic table , ø can be found out
• sin ø = opposite hypotenuse• sin ø = AB = sin
25 AC
39.05 • ø = 0.6402…• ø = 39 48
• sin ø = opposite hypotenuse• sin ø = DE = sin
25 DF
39.05• ø = 0.6402….• ø = 39 48The angles inclined at angle
C & angle F is 39 48 .
conclusions• From the above observation, the both
the angles are of equal angles i.e. 39 48
• We get the distance from the top of the tower & pyramid.
• A catapult is a device used to throw or hurl a projectile a great distance without the aid of explosive devices—particularly various types of ancient and medieval siege engines.
Presentation Made By –
krishma
Model MADE BY – krishma, Honey & khyati
Presented By –Shyam & Vikas
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