Trigonometry_triangle.gif


Sin(θ)= Opp/Hyp

Cos(θ)= Adj/Hyp

Tan(θ)= Opp/Adj


Fun Fact:The famous acronym "SOH-CAH-TOA" is actually the first name of an ancient Indian, Sohcahtoa Jones. Sohcahtoa coincidentally happens to be Garrett's great, great grandfather. In the mid 1990's Sohcahtoa discovered what we now call "math". Since then we have used his name to remember the trigonometric functions of a right triangle. More importantly, his name is also used in one of today's most lovable rap song, Get Low: "Soh cah toa me one more time." His contributions to the fields of "mathematics" and pop culture has made Sohcahtoa Jones America's favorite icon.



These trigonometric functions are used when finding an unknown length of a right triangle. It is possible to use the sine, cosine, and tangent funtions if the angle (theta) and at least one length of a side of the triangle are known. Try to use either of the three trigonometric functions to solve for the missing lengths below, and remember the great Indian Sohcahtoa.



good_flag_pole.png
To solve this problem first you set up the equation:
Tan(65)= X/15, next to solve for X you multiply Tan(65) ⋅ 15.
The answer for the height of the flag pole is X = 32.17 Ft.

2_flagpole.png
To solve for this problem first set up the equation:
Sin(65)=X/25, next, to solve for X, you multiply Sin(65)*25.
The answer for the height of the flag pole is X= 22.658 Ft.

3_flagpole.png
To solve for this problem first set up the equation:
Cos(65)=X/25, next, to solve for X, you multiply Cos(65)*25.
The answer for the distance from the flag pole is X= 10.565 Ft.