Pythagoras theorem
Trigonometric ratios and unknown side lengths
Trigonometric ratios and unknown angles
Teachers of LSC
General Knowledge
100

This is the magnitude of a right angle.

What is 90 degrees?

100

This is the common mnemonic (memory device) to help remember the trigonometric ratios.

What is SOHCAHTOA?

100

This is the name of the greek symbol commonly used to represent unknown angles in trigonometry.

What is theta?

100

This teacher was on deal or no deal in 2024.

Who is Mr Ford?

100

This is the number of sides on a hexagon.

What is six?

200

This is the name of the longest side length in a right angled triangle.

What is a hypotenuse?

200

This is the trigonometric ratio that should be used to find the height of the tree in the following:

*Hint: DO NOT solve the problem (Just write the ratio).

What is tan(θ) = O/A ?

200

This is a button on the TI - 30XB (green calculator) that must be first pressed to utilise the inverse trigonometric ratios.

What is the 2nd function?

200

This teacher appeared on ESPN.

Who is Mr Morison?

200

This is the hardest natural substance on Earth and is comprised entirely of the element Carbon.

What is diamond?

300

This is a version of pythagoras' theorem that can determine an unknown hypotenuse.

c = sqrt(a^2 + b^2)

300

A right angled triangle has a hypotenuse length of 23m and an internal angle of 30°. The side connecting (adjacent to) the angle is unknown (x). This is the trigonometric ratio that should be used in this problem.

*Hint: Draw the problem & DO NOT SOLVE THE PROBLEM (just write the ratio)

What is cos(θ) = A/H ?

300

A right-angled triangle has an opposite side of 9 cm, an adjacent side of 12 cm and an unknown angle θ. This is the trigonometric ratio you should use to calculate θ.

*Hint: Draw the problem & DO NOT SOLVE THE PROBLEM (just write the ratio)

What is tan (θ) = O/A ?

300

This maths teacher can also speak and teach Italian.

Who is Mrs Robertson?

300

This is the largest desert in the world.

What is Antarctica?

400

This is the value of 'c' in the following: 

What is 41?

400

This is the value of x, to the nearest 1 decimal place, from the following: 

What is 11.4cm?

400

In a right-angled triangle, the opposite side is 6 cm and the hypotenuse is 12 cm. This is the angle θ, to the nearest degree.

*Hint: Draw the problem

What is 30°?

400

This is the school that Mr Kenyon previously worked at.

What is Dromana College?

400

This is the only letter that does not appear in the name of any US state.

What is Q?

500

A woodworker is constructing a desk that sits in the corner of a room. The desk is to be a triangle that fits into the corner neatly with no gaps, it must be 233cm long on the hypotenuse, and sticks out from the wall 208cm on one side. What is the length of the final side of the triangle desk?

*Hint: Draw a mud map/ diagram of the problem first.

What is 105cm?

500

This is the length CD, to the nearest 2 decimal places, from the following:

What is 14.46cm?

500

This is the size of angle FHE, to the nearest degree, in the following:

What is 59°?

500

This teacher once appeared on the national news in the Philippines.

Who is Mr Anderson?

500

This scientist developed the three laws of motion that form the foundation of classical mechanics.

Who is Isaac Newton?

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