Question

My 5.5 foot friend is casting a shadow of 4 feet. They are standing next to a building that which is casting a shadow 14 feet long. How tall is the building?

Answer 1

• 19.25 feet

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We have got two similar triangles formed by casing a shadow.

Set up equal ratios for corresponding sides of the triangles:

• x/5.5 = 14/4, where x- height of the building

Multiply both sides by 5.5 to find the value of x:

• x = 14*5.5/4
• x = 19.25