Free Printable Angles Of The World!

Worksheets

Angles Of The World!

Total questions: 18

Worksheet time: 22mins

Name

Class

Date

Starting off here in Australia, this is Whitehaven Beach, located in Queensland, it is known for being the most photographed beach in the entire world! What could "θ" be?

Straight Line

Obtuse Angle

Acute Angle

Right Angle

Revolution

Heading back to Melbourne, the city of trams and liveability. This lush garden is the Royal Botanic Gardens Victoria. What is amount of degrees in the outlined circle?

360°

A Revolution

Reflex Angle

Now we are off to New South Wales, and Mount Kosciuszko. This is the tallest mountain on Australia with a height of 2,228 meters! Which side of the triangle is the hypotenuse?

200 metres

k metres

75metres

None of them are the hypotenuse

This structure right here is Chichen Itza, it is located in Yucatan, Mexico. Nevertheless it symbolises a magnificent civilisation rich in architectural marvels and ancient secrets. Using a certain formula find out what "i°" is.

(a)

Going to America now, the Golden Gate Bridge in San Fransisco, California took 4 years to build yet it is the most photographed bridge in the world. What are the two angles?

(a)

This vibrant river is known as the River of Five Colours" or the "Liquid Rainbow" but it is actually called Caño Cristales, it is located in Colombia. How do we find the angle sum of this shape?

$\frac{\left(n-2\right)\times180\degree}{n}$

$\left(n-2\right)\times180\degree$

$a^2+b^2=c^2$

These are the Pyramids of Giza, located in Memphis Egypt, they were constructed to honour the famous pharaohs of Egypt at the time. From this picture there are two similar shapes. What is the relationship between "shape x" and "shape y"?

"y" is an enlargement of "x" by a scale factor of 1.5

"x" is an enlargement of "y" by a scale factor of 1.5

"y" is reduction of "x" by a scale factor of ⅔

"x" is reduction of "y" by a scale factor of ⅔

Now we are going all the way to Chile, more specifically the Marble Caves in the Patagonian Andes. These caves were actually created 6000years ago! There are two congruent triangles in this image, which property guarantees they are congruent?

SAS

(Side-Angle-Side)

ASA

(Angle-Side-Angle)

SSS

(Side-Side-Side)

RHS

(Right Angle-Hypotenuse-Side)

This right here is the Incheon Bridge, located in South Korea. It is actually South Korea's longest cable-stayed bridge spanning of 21,380 metres. That is over 18 times longer than the Sydney Harbour Bridge here in Australia!!! These triangles are actually congruent in real life but due to the angle in the image it seems they aren't the same. If two shapes are congruent it means they are not...

Different Sizes

Same Shape

Same Size

Same Angles

Completely Different

10.

This crowded area over here is known as the Shibuya Crossing in Tokyo, Japan. Shibuya Crossing is busiest pedestrian crossing in the world, with as many as 3,000 people crossing at a time. Upon inspecting the crossing you can find a set of parallel lines and a transversal. How are "C°" and "G°" related?

They are Co-Exterior Angles or Co-Interior Angles

They are Vertically Opposite Angles

They are Alternate Angles

They are Correpsonding Angles

They are not related at all

11.

Off to France the most popular tourist destination in the world. This building right here is Mont-Saint Michel, a type of commune and a tidal island located in Normandy in Northern France. According to the following measurements what is the hypotenuse (c) rounded to the nearest whole number? - Calculator allowed

(a)

12.

This Image right here shows the skyline of Toronto, Canada. The really really tall building you see here is the CN tower, it is one of tallest towers in the world with a staggering height of 533metres. According to the picture what would be best estimate for what "t" would be?

In between 0metres and 100metres

In between 100metres and 300metres

In between 300metres and 550metres

In between 550metres and 1000metres

13.

Heading to Greece, known for its fascinating history and philosophy. These beautiful buildings right here are in Santorini, a Greek Island in the Aegean Sea. What trigonometric ratio do you use to find "s"?

tan

sin

cos

sin^-1

cos^-1

14.

Here is the tallest skyscraper in the world, Burj Khalifa located in Dubai of the United Arab Emirates. Using a trigonometric ratio find what the hypotenuse is.

$x=\frac{\sin830\degree}{30}$

$x=\frac{830}{\cos30\degree}$

$x=\cos^{-1}830°$

$x=\frac{\cos30\degree}{830}$

15.

Willkommen to Germany, the country with a population over 84million! That's over 3times more than Australia's current population in a space which is 22times smaller than Australia! This location here is one you might recognise it has been used in over 20movies and is famous for the medieval story behind it, it's the Neuschwanstein Castle. Using a trigonemtric ratio find what "x" is.

$x=60\sin^{-1}30°$

$x=30\sin^{-1}60°$

$x=30\sin60\degree$

$x=60\sin30\degree$

16.

Welcome to Mount Kenya National Park, it has unique wilderness with lakes, glaciers, dense forests, mineral springs and a range of rare and endangered species of animals. Using a trigonometric ratio find what "θ" is.

$\theta=\frac{1}{\tan^{-1}}\times\frac{3}{4}$

$\theta=\frac{1}{\tan^{-1}}\times\frac{4}{3}$

$\theta=\frac{1}{\tan^{ }}\times\frac{4}{3}$

17.

This is in Argentina. this waterfall well series of waterfalls is known as Iguazu Falls. Iguazu Falls is the largest waterfall system in the world with over 250 waterfalls. What is "side a" rounded to 2 decimal places?

86.24m

52.51m

72.18m

51.52m

18.

This stunning garden is Yuyuan Garden, situated in Shanghai, China. The elegant layout, and the perceptive style of the garden structures have made the garden one of the highlights of China. In the displayed what would "y" be?

4 lines

100 %

Angles Of The World!

Total questions: 18

Worksheet time: 22mins

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