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Lanky Lamppost (Lanky Lamp Post in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

Can you work out the height of this lamppost just by looking at its shadow?

The post next to the light has a height of 1 meter and casts a shadow 1.5 meters long.

UK Version

Can you work out the height of this lamp post, in metres, just by looking at the shadow it casts?

The bollard next to the lamp post has a height of 1 m and casts a shadow 1.5 m long.

Hints




Click a Tab to reveal the Hint.

US Version

The shadow on the wall is the tricky part. It runs vertically up the wall so the proportions of this part of the lamppost's shadow are not stretched.

Actually, its scale is the same as the posts next to the lamp or, indeed, any other vertical object.

UK Version

The shadow on the wall is the tricky bit. It runs vertically up the wall, so the proportions of this part of the lamp post's shadow are not stretched.

Actually, its scale is the same as the bollard next to the lamp post or, indeed, any other vertical object.

US Version

Think about a 2-meter post and how long its shadow would be. The 1-meter post casts a 1.5-meter-long shadow. Therefore, a post 2 meters tall would cast a shadow 3 meters long.

UK Version

Think about a 2 m high post and how long its shadow would be. The 1 m tall bollard casts a 1.5 m long shadow. Therefore, a 2 m post would cast a shadow 3 m long.

US Version

The post is 1 meter tall with a shadow 1.5 meters long (in other words, the shadow is half as long again). The part of the lamppost's shadow stretching from the foot of the post up to the wall is 3 meters, and so the part of the lamppost casting a shadow on the ground is 2 meters high.

UK Version

The bollard is 1 m tall with a shadow 1.5 m long (in other words, the shadows are one and a half times as long as the objects). The part of the lamp post's shadow stretching from the foot of the post up to the wall is 3 m, so the part of the lamp post casting a shadow on the ground is 2 m high.

US Version

Since we know from Hint 3 that the part of the shadow on the ground is cast by 2 meters of the lamppost, all we need to do now is add that to the 2 meters of shadow running up the wall.

UK Version

Since we know from Hint 3 that the part of the shadow on the ground is cast by 2 m of the lamp post, all we need to do now is to add that to the 2 m of shadow running up the wall.


Solution

Incorrect

US Version

Too bad!

Concentrate on the shadows.

UK Version

Too bad.

Concentrate on the shadows.

Correct

Precisely!

US Version

The lamppost is 4 meters high.

UK Version

The lamp post is 4 m high.

LS069S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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