General Trig Triv!
Lighthouses
Pies
Really Hard Trig Problems (DO NOT TRY)
100
acronym for the 3 fundamental trig ratios
SOH-CAH-TOA
Opposite/Hypotenuse
Adjacent/Hypotenuse
Opposite/Adjacent
100
Shinji and Hatsue's rendezvous point
A lighthouse!
100
Pie store located at glebe road and langston boulevard. Crusts made by local roller Kian Francois
Pie Life
100
Ms Jaramillo's Favorite Table
our table
HM: The goons in the back
200
What page of the IB booklet are the trig formulas on?
Page 4 :)
200
Movie with Robert Pattinson and Willem Dafoe
"The Lighthouse"
200
Most popular kind of pie
Apple Pie!
HM: Pumpkin and Cream
200
What are the names of Mrs. Jaramillo's children?
Carolina & Lucas
300
Label the horizontal line, angle of elevation, and angle of depression on the board
Looks good!
300
A boat is sailing offshore. The bearing of Lighthouse A from the boat is 65°, and the bearing of Lighthouse B from the boat is 145°. The boat is 4.0 km from Lighthouse A and 3.2 km from Lighthouse B.
a) Sketch a diagram showing the boat and the two lighthouses.
b) Find the angle between the lines from the boat to the two lighthouses.
c) Hence, determine the distance between Lighthouse A and Lighthouse B.
(b): 80 degrees
(c): 4.67km
300
A circular pie has a radius of 10 cm. A slice is cut with a central angle of 3pi/5 radians.
(a)Find the length of the crust (arc length) of this slice.
(b)The crust is coated with sugar at a rate of 0.2 g per cm. Calculate the total amount of sugar used on this slice.
(c)Explain how the arc length would change if the angle were doubled
(a): 6pi cm
(b): 1.2pi g
(c): Arc length also doubles
300
Angles are measured in degrees or in radians. The conversion factor with which to multiply to convert from degrees to radians is:
pi/180
400
In the image, angle A is 70 degrees, side a is 12 cm and side b is 9cm. What is the value of angle B?
C
/ \
b = 9cm / \ a = 12 cm
/ \
A /________\ B
44.8 degrees
400
Three lighthouses form a triangle along the coastline.
Lighthouse X and Lighthouse Y are 5.4 km apart.
Lighthouse Y and Lighthouse Z are 3.7 km apart.
The angle at Lighthouse Y between the two connecting paths is 112°.
a) Draw a labelled triangle.
b) Use the cosine rule to find the distance between Lighthouse X and Lighthouse Z.
(b): 7.61km
400
First 15 digits of Pi
3.14159265358979
400
What was in the bottle?
no one knows
(a lot)
500
To find the height of a pole, a surveyor moves 70 feet away from the base of the pole and looks up 30 degrees. What is the height of the pole to the nearest foot? Assume that the surveyor is 0 cm tall.
42 feet
500
A lighthouse keeper measures two angles from the top of a lighthouse to two ships at sea.
The angle between the two lines of sight is 38°.
The distance to Ship A is 2.1 km.
The angle opposite Ship A (from the keeper’s viewpoint) is 72°.
a) Sketch the triangle formed by the lighthouse and the two ships.
b) Use the sine rule to find the distance to Ship B.
(b): 2.1km
500
A pie has a radius of 14 cm. One slice corresponds to an angle of pi/6 radians.
(a) Find the area of this slice.
(b) The pie is cut into identical slices of this size. Determine how many slices the whole pie can be divided into.
(c) The baker wants each slice to have an area of 50 cm² instead. Find the angle (in radians, in terms of π if possible) that each slice should have.
(a): 49pi/3 cm²
(b): 12
(c): 25/49 radians
500
Name a band(s) of Phil Krauth
Unrest, Flowers of Discipline, Tone, etc