Trigonometry: Finding Angles and Side Lengths

What is the sum of the interior angles of any triangle?

• 360 degrees

• 90 degrees

• 180 degrees

• 540 degrees

Calculate the value of the missing angle, x

• 68 degrees

• 115 degrees

• 47 degrees

• 65 degrees

True or false: the image is one way to show visual proof of the Pythagorean Theorem

• True

• False

Select the formula for the Pythagorean Theorem

• $a^2+b^2=c^2$

• $b^2+c^2=a^2$

• $a^2+c^2=b^2$

True or False: The Pythagorean Theorem applies to right angle triangles only

• True

• False

What can Trigonometry be used for in real life?

Select the best possible answer.

• Surveying

• Architecture

• Woodworking

• Navigation

• All options are correct

Use the Pythagorean Theorem to find the value of side c

• 48

• 16

• 32

• 8

The side length of each hypotenuse (rafter) is 6m. 

The base of each triangle (beam) is 8.5/2 m. 

What is the height of the triangles (king post)?

Hint: use the rearranged Pythagorean formula

 $b=\sqrt{c^2-a^2}$  

• 4.5 m

• 7.25  m

• 4.235 m

• 4.25 m

You are given the rise (height = 40 ft) and the run (length = 40 ft) of the dimensions of a right angle triangle representing a hill.

What is the length of the distance one would have to travel on the hill (hypotenuse)?

Hint: use the Pythagorean Theorem.

• 40 ft

• 56.56 ft

• 45 ft

• 63.64 ft

A good way to remember Trig Ratios is to use the memory aid

• SOH CAH TOA

• COH SAH OAT

• SOA COH TAH