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Transcript of Trigonometry
SOH CAH TOA
Sine Cosine Tangent
18 x Sin30º= x/18
.'. x= 18 x sin30º
.'. x= 9
Cos 40º = x/12
12 x Cos40º= x/12
.'.x= 12x Cos40º
.'. x= 9.2
8.4 x Tan32º= x/8.4
.'. x = Tan32ºx 8.4
.'. x = 5.25
Problem for you!
Did you get...
A mountain is 3km high on one side but how tall is it on the other?
Get a pen and paper to work this out
3x Tan38= x/3
x=3 x Tan38
.'. x = 2.34km
Therefore, the other side of
the mountain is 2.34km.
the side opposite the angle
the side next to the angle
the longest side
the angle of the triangle
John is standing 7 meters away from a tree. The length from the top of the tree to his feet is 11 meters away.
How tall is the tree?
The Answer is...
.'.x= 11x Sin44°
.'. the Tree is 7.6m tall
not to actual size
The bike and the car are leaving the city but at different speeds. After 1 hour the distance between the city and the bike is 54km away. The angle is 29 degrees. How far away is the bike from the car?
Question no. 3
Example: Finding a side
19÷ Cos37= 19/x
.'. x= 19÷ Cos37
.'. x= 23.8
*if the x is at the top of the fraction then you have to multiply
*if the x is at the bottom then you have to divide
SOH CAH TOA
.'. x= 54 ÷ Cos29°
.'. x= 61.74 km
Finding a Side of a right angled
Triangle using Trigonometry
Finding the angle of this triangle is easy... try this...
You use Tan because you have the opposite and adjacent measurements.
Tan0 = 12/15
.'. x= 38.7mˉθ
Finding the Angle
What is the Angle?