Round to the nearest degree
99sin56
82°
What angle is this?
*draw on board
depression
cos-1(8/22)
69
What are the three trigonometric functions? Include acronym!
Sin Cos Tan (SOHCAHTOA)
Evaluate to four decimal places
tan72°
3.0777
Evaluate to four decimal places
cos11°
0.7660
In what two cases do we use the cosine law?
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
Solve for x:
sinx=1/3
x=sin-1(1/3)
x=19°
Find the value of A
62=52+92-2(9)(5)cosA
36=25+81-90cosA
36=106-90cosA
-70=-90cosA
-70/-90=cosA
A=cos-1(-70/-90) A=38.9
Solve for x
cosx=2/5
x=cos-1(2/5)
x=66°
In what two cases do you use sine law?
SSA (Side-Side-Angle)
SAA (Side-Angle-Angle)
Find x
*draw triangle
sin63=x/25
25sin63=x
x=22.28
SinA? CosA? TanA
Angle A?
*drawn on board
sinA=3/5
cosA=4/5
tanA=3/4
angleA=37°
Find y
*draw on board
tanY=32/15
Y=tan-1(32/15)
Y=65°
Solve the triangle
*draw on board
angle M=58°
angle N=94°
side n=11cm
Steve is in a hot air balloon. The angle of elevation from her house to the balloon is 62 degrees. The balloon is at a height of 200 metres. What is the distance between the balloon and Steve's home?
*draw sketch on board
sin62=200/x
xsin62=200
x =200/sin62
x =226.5 It is 226.5m
Find area of ∆ABC
*draw on board
sin26=T/5
5sin26=T
T=2.19
A=bxh/2
=10x2.19/2
=10.96cm2
Solve for x
*draw on board
x=27.1
Calculate the area of the triangle
*draw on board
43.1cm2
Solve using Sine Law
*draw on board
Q=45°
q=6cm
s=9cm
Moe was riding a dirt bike and wanted to hit a ramp, the ramp is 4.1m long and 2.4m straight off the ground, what is the angle of the ramp?
36°
Olivia was at the bottom of a workout ladder, the ladders are at an angle of 26° and span a height of 13ft, how long is the staircase?
5.6ft
Alex was making a home gym in his basement and needed the angles and lengths to measure how much foam for the floor, solve the triangle
Angle : 58°
Length : 12ft
In a right triangle, the measure of one of the angles is 49° and the hypotenuse has a length of 50cm. Which of the following is the nearest approximation to the length, in cm, of the leg opposite to this angle?
37.7cm
Two boats leave Port Rutherford at the exact same time at 90°, one goes 7 miles away and is eating pepperoni pizza with an angle of 29°, the other is 9 miles away and is eating a sandwich with an angle of 61°, what is the distance of the boats?
4.5miles