Triangle Shortcuts
Sin, cos, Tan Angles
Sin,Cos,Tan sides
Word Problems
Pythagorean Theorem
100
Find the hypotenuse of a 30-60-90 triangle with a shortest side of 8 units
What is 16 units.
100
Solve for the angle. rounded to the nearest tenth of a degree.
What is 17.1º?
100
Find the missing side.
8.1
100
A boy is flying his kite at a port. The kite is 10 feet away from the port and the angle of elevation is 20 degrees. What is the length of the kite's string rounded to the nearest hundredth.
What is x≈10.64 feet?
100
The two legs of a right right triangle are 6 and 8 units. This is the length of the hypotenuse.
What is 10 units?
200
Find the hypotenuse of a 45-45 -90 triangle with a leg length of 3*(square root of 2)
what is 6.
200
Solve for the angle to the nearest tenth of a degree.
What is 48.2º?
200
What is Mr. Somerville's favorite restaurant?
What is Chipotle.
200
A ladder that is 14 feet long is leaning against a building with a height of 13 feet. This is the distance from the base of the latter to the base of the wall in simplest radical form.
What is
3sqrt3 feet
200
The two legs of a right triangle are 5 cm and 12 cm. This is the length of the hypotenuse.
What is 13 cm?
300
How many kids does Mr. Somerville have and what are their names?
What is 2 - Ruby and Arthur
300
Solve for the angle rounded to the nearest tenth of a degree.
What is 48.2º?
300
Solve the missing side.
5.5
300
A boy is flying a kite with a string of 50 meters. The kite is at a height of 40 meters. This is the distance from the boy to the vertical of the kite in simplest radical form.
What is 30 m?
300
What is Mr. Somerville's favorite number ?
What is 10
400
Find the lenght of the leg of a 45-45-90 triangle with a hypotenuse of 16*(square root of 32)
What is 64.
400
What can't Mr. Somerville eat?
What is gluten?
400
Find the length of q. Round to the nearest .01
What is q≈21.32?
400
A hot air balloon is flying at a height of 50 meters. A cameraman horizontally 200 meters away from the hot air balloon takes a picture. This is the distance of the line of sight from the camera to the balloon in simplest radical form.
What is
50*sqrt17 meters ?
400
The lengths of the sides of this right triangle are 5 units, 12 units and 14 units. This is the classification of this triangle by angle.
What is an obtuse triangle?
500
Find the middle length leg of a 30-60-90 triangle with a hypotenuse of 17*(square root of 50).
What is 42.5*(square root of 6)
500
If you know the lengths of the adjacent and opposite sides of an angle, you would use this function to determine the angle.
What is tan-1 or what is inverse tangent?
500
This trigonometry ratio is used when you know the hypotenuse and opposite sides of a right triangle.
What is sine?
500
There are two ways to get from Denver, to Julesburg, CO. You can drive north to Cheyenne on I-25 for 100 miles and then east on I-80 for 143 miles. Alternatively, you can drive the diagonal on I-76. Assuming this map is a perfect right triangle and the average speed is 70 mph, this is the calculated number of hours (rounded to the nearest tenth of an hour) you save by driving I-76.
What is 1.0 hours?
500
The sides of this triangle are 3 units, 4 units, and 4 units. This is the classification of this triangle by angle.
What is an acute triangle?