Similar Triangles
SOHCAHTOA
Sine Law
Cosine Law
Applications
100
What are the three methods used to prove 2 triangles are similar?
SSS, SAS, AA
100
What does SOHCAHTOA stand for?
sinA=opp/hyp
cosA=adj/hyp
tanA=opp/adj
100
What information do you need to use sine law on a triangle?
A non-right triangle with a known pair
100
What information do you need to solve a triangle using cosine law?
a non right triangle with all 3 sides or a contained angle
100
Justin has let out 40 meters of his kite string, which makes an angle of 72 degrees with the ground. Find the height of the kite, to the nearest meter.
38 m
200
Which method would you use to prove the following triangles are similar?
Angle Angle
200
Determine the three primary trigonometric ratios for angle C in the triangle below. 
sinC=15/17
cosC=8/17
tanC=15/8
200
Find the length of side C. Round to the nearest whole number. 
8
200
What is the formula used to solve for an angle using cosine law?
cosC=(c^2-a^2-b^2)/-2ab
200
A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 32°. How far is the tower from a point directly beneath the plane?
19204 m
300
Complete the similarity statement: Triangle HGF is similar to:
Triangle HGF is similar to Triangle HTS
300
Find side x. Round to the nearest tenth.
61.6
300
Determine the length of side a. Round to the nearest whole number. 
17
300
Determine the length of side a. Round to the nearest whole number.
45
300
To determine the width of a river, Naomi finds a willow tree and a maple tree that are directly across from each other on opposite shores. Using a third tree on the shoreline, Naomi plants two stakes, A and B, and measures the distances shown. Find the width of the river to the nearest tenth of a metre.
21.7 m
400
The triangles are similar. Find the value of the missing side (side l).
22
400
Determine the length of side x. Round to the nearest hundredth.
23.87
400
Find angle A. Round to the nearest degree. 
15 degrees
400
Find the measure of angle A. Round to the nearest degree.
137 degrees
400
JJ and Amanda are on opposite sides of a tower that is 160 m tall. They measure the angle of elevation to the top of the tower as 40 degrees and 55 degrees respectively. Find the distance between JJ and Amanda.
302.71 m
500
The triangles below are similar. Determine the value of x and then calculate the length of side t.
x = 8
t = 84
500
Find the value of side x. Round to the nearest tenth. 
9.6
500
Triangle ABC has measurements: A=70 degrees, c=26 cm, and a= 25 cm. Determine the measure of angle B. Round to the nearest degree.
32 degrees
500
Determine the measure of angle A to the nearest degree.
66 degrees
500
In the diagram below, find the height of the building to the nearest metre.
113 m